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Finding the Fourth Proportional to 2,265.48, 3,127.14 and 1,565.64

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Solution

The fourth proportional to 2,265.48, 3,127.14 and 1,565.64 is: 2,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.48 : 3,127.14 = 1,565.64 : x
  2. Step 2: Convert to fraction form
    2,265.48/3,127.14 = 1,565.64/x
  3. Step 3: Cross multiply
    2,265.48x = 3,127.14 × 1,565.64
  4. Step 4: Simplify right side
    2,265.48x = 4,895,975.47
  5. Step 5: Solve for x
    x = 4,895,975.47/2,265.48
  6. Step 6: Final answer
    x = 2,161.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.