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Finding the Fourth Proportional to 1,561.46, 2,342.32 and 587.30

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Solution

The fourth proportional to 1,561.46, 2,342.32 and 587.30 is: 881.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.46 : 2,342.32 = 587.30 : x
  2. Step 2: Convert to fraction form
    1,561.46/2,342.32 = 587.30/x
  3. Step 3: Cross multiply
    1,561.46x = 2,342.32 × 587.30
  4. Step 4: Simplify right side
    1,561.46x = 1,375,644.54
  5. Step 5: Solve for x
    x = 1,375,644.54/1,561.46
  6. Step 6: Final answer
    x = 881.00

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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.