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Finding the Fourth Proportional to 1,764.17, 2,642.81 and 942.15

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Solution

The fourth proportional to 1,764.17, 2,642.81 and 942.15 is: 1,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.17 : 2,642.81 = 942.15 : x
  2. Step 2: Convert to fraction form
    1,764.17/2,642.81 = 942.15/x
  3. Step 3: Cross multiply
    1,764.17x = 2,642.81 × 942.15
  4. Step 4: Simplify right side
    1,764.17x = 2,489,918.73
  5. Step 5: Solve for x
    x = 2,489,918.73/1,764.17
  6. Step 6: Final answer
    x = 1,411.39

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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.