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Finding the Fourth Proportional to 1,890.65, 2,834.46 and 902.94

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Solution

The fourth proportional to 1,890.65, 2,834.46 and 902.94 is: 1,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.65 : 2,834.46 = 902.94 : x
  2. Step 2: Convert to fraction form
    1,890.65/2,834.46 = 902.94/x
  3. Step 3: Cross multiply
    1,890.65x = 2,834.46 × 902.94
  4. Step 4: Simplify right side
    1,890.65x = 2,559,347.31
  5. Step 5: Solve for x
    x = 2,559,347.31/1,890.65
  6. Step 6: Final answer
    x = 1,353.69

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1.5x scale

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.