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Finding the Fourth Proportional to 1,864.76, 2,572.94 and 1,567.14

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Solution

The fourth proportional to 1,864.76, 2,572.94 and 1,567.14 is: 2,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.76 : 2,572.94 = 1,567.14 : x
  2. Step 2: Convert to fraction form
    1,864.76/2,572.94 = 1,567.14/x
  3. Step 3: Cross multiply
    1,864.76x = 2,572.94 × 1,567.14
  4. Step 4: Simplify right side
    1,864.76x = 4,032,149.36
  5. Step 5: Solve for x
    x = 4,032,149.36/1,864.76
  6. Step 6: Final answer
    x = 2,162.29

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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.