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Finding the Fourth Proportional to 1,642.23, 2,463.78 and 717.87

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Solution

The fourth proportional to 1,642.23, 2,463.78 and 717.87 is: 1,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.23 : 2,463.78 = 717.87 : x
  2. Step 2: Convert to fraction form
    1,642.23/2,463.78 = 717.87/x
  3. Step 3: Cross multiply
    1,642.23x = 2,463.78 × 717.87
  4. Step 4: Simplify right side
    1,642.23x = 1,768,673.75
  5. Step 5: Solve for x
    x = 1,768,673.75/1,642.23
  6. Step 6: Final answer
    x = 1,077.00

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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.