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Finding the Fourth Proportional to 1,442.71, 2,160.57 and 1,169.34

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Solution

The fourth proportional to 1,442.71, 2,160.57 and 1,169.34 is: 1,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.71 : 2,160.57 = 1,169.34 : x
  2. Step 2: Convert to fraction form
    1,442.71/2,160.57 = 1,169.34/x
  3. Step 3: Cross multiply
    1,442.71x = 2,160.57 × 1,169.34
  4. Step 4: Simplify right side
    1,442.71x = 2,526,437.21
  5. Step 5: Solve for x
    x = 2,526,437.21/1,442.71
  6. Step 6: Final answer
    x = 1,751.17

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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.