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Finding the Fourth Proportional to 1,527.79, 2,295.47 and 1,269.67

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Solution

The fourth proportional to 1,527.79, 2,295.47 and 1,269.67 is: 1,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.79 : 2,295.47 = 1,269.67 : x
  2. Step 2: Convert to fraction form
    1,527.79/2,295.47 = 1,269.67/x
  3. Step 3: Cross multiply
    1,527.79x = 2,295.47 × 1,269.67
  4. Step 4: Simplify right side
    1,527.79x = 2,914,489.39
  5. Step 5: Solve for x
    x = 2,914,489.39/1,527.79
  6. Step 6: Final answer
    x = 1,907.65

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