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Finding the Fourth Proportional to 1,572.18, 2,169.62 and 864.10

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Solution

The fourth proportional to 1,572.18, 2,169.62 and 864.10 is: 1,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.18 : 2,169.62 = 864.10 : x
  2. Step 2: Convert to fraction form
    1,572.18/2,169.62 = 864.10/x
  3. Step 3: Cross multiply
    1,572.18x = 2,169.62 × 864.10
  4. Step 4: Simplify right side
    1,572.18x = 1,874,764.77
  5. Step 5: Solve for x
    x = 1,874,764.77/1,572.18
  6. Step 6: Final answer
    x = 1,192.46

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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.