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Finding the Fourth Proportional to 1,168.47, 1,742.76 and 1,144.17

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Solution

The fourth proportional to 1,168.47, 1,742.76 and 1,144.17 is: 1,706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.47 : 1,742.76 = 1,144.17 : x
  2. Step 2: Convert to fraction form
    1,168.47/1,742.76 = 1,144.17/x
  3. Step 3: Cross multiply
    1,168.47x = 1,742.76 × 1,144.17
  4. Step 4: Simplify right side
    1,168.47x = 1,994,013.71
  5. Step 5: Solve for x
    x = 1,994,013.71/1,168.47
  6. Step 6: Final answer
    x = 1,706.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.