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Finding the Fourth Proportional to 1,731.61, 2,597.42 and 577.36

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Solution

The fourth proportional to 1,731.61, 2,597.42 and 577.36 is: 866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.61 : 2,597.42 = 577.36 : x
  2. Step 2: Convert to fraction form
    1,731.61/2,597.42 = 577.36/x
  3. Step 3: Cross multiply
    1,731.61x = 2,597.42 × 577.36
  4. Step 4: Simplify right side
    1,731.61x = 1,499,646.41
  5. Step 5: Solve for x
    x = 1,499,646.41/1,731.61
  6. Step 6: Final answer
    x = 866.04

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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.