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Finding the Fourth Proportional to 1,564.07, 2,347.11 and 743.27

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Solution

The fourth proportional to 1,564.07, 2,347.11 and 743.27 is: 1,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.07 : 2,347.11 = 743.27 : x
  2. Step 2: Convert to fraction form
    1,564.07/2,347.11 = 743.27/x
  3. Step 3: Cross multiply
    1,564.07x = 2,347.11 × 743.27
  4. Step 4: Simplify right side
    1,564.07x = 1,744,524.71
  5. Step 5: Solve for x
    x = 1,744,524.71/1,564.07
  6. Step 6: Final answer
    x = 1,115.38

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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.