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Finding the Fourth Proportional to 1,829,446.65, 2,743,674.24 and 764,265.87

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Solution

The fourth proportional to 1,829,446.65, 2,743,674.24 and 764,265.87 is: 1,146,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,446.65 : 2,743,674.24 = 764,265.87 : x
  2. Step 2: Convert to fraction form
    1,829,446.65/2,743,674.24 = 764,265.87/x
  3. Step 3: Cross multiply
    1,829,446.65x = 2,743,674.24 × 764,265.87
  4. Step 4: Simplify right side
    1,829,446.65x = 2,096,896,580,030.19
  5. Step 5: Solve for x
    x = 2,096,896,580,030.19/1,829,446.65
  6. Step 6: Final answer
    x = 1,146,191.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.