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Finding the Fourth Proportional to 1,752.40, 2,418.72 and 1,162.96

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Solution

The fourth proportional to 1,752.40, 2,418.72 and 1,162.96 is: 1,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.40 : 2,418.72 = 1,162.96 : x
  2. Step 2: Convert to fraction form
    1,752.40/2,418.72 = 1,162.96/x
  3. Step 3: Cross multiply
    1,752.40x = 2,418.72 × 1,162.96
  4. Step 4: Simplify right side
    1,752.40x = 2,812,874.61
  5. Step 5: Solve for x
    x = 2,812,874.61/1,752.40
  6. Step 6: Final answer
    x = 1,605.16

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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.