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Finding the Fourth Proportional to 1,560.02, 2,152.83 and 861.41

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Solution

The fourth proportional to 1,560.02, 2,152.83 and 861.41 is: 1,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.02 : 2,152.83 = 861.41 : x
  2. Step 2: Convert to fraction form
    1,560.02/2,152.83 = 861.41/x
  3. Step 3: Cross multiply
    1,560.02x = 2,152.83 × 861.41
  4. Step 4: Simplify right side
    1,560.02x = 1,854,469.29
  5. Step 5: Solve for x
    x = 1,854,469.29/1,560.02
  6. Step 6: Final answer
    x = 1,188.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.