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Finding the Fourth Proportional to 1,318.04, 1,983.86 and 1,159.28

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Solution

The fourth proportional to 1,318.04, 1,983.86 and 1,159.28 is: 1,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.04 : 1,983.86 = 1,159.28 : x
  2. Step 2: Convert to fraction form
    1,318.04/1,983.86 = 1,159.28/x
  3. Step 3: Cross multiply
    1,318.04x = 1,983.86 × 1,159.28
  4. Step 4: Simplify right side
    1,318.04x = 2,299,849.22
  5. Step 5: Solve for x
    x = 2,299,849.22/1,318.04
  6. Step 6: Final answer
    x = 1,744.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.