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Finding the Fourth Proportional to 1,559.68, 2,152.48 and 861.12

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Solution

The fourth proportional to 1,559.68, 2,152.48 and 861.12 is: 1,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.68 : 2,152.48 = 861.12 : x
  2. Step 2: Convert to fraction form
    1,559.68/2,152.48 = 861.12/x
  3. Step 3: Cross multiply
    1,559.68x = 2,152.48 × 861.12
  4. Step 4: Simplify right side
    1,559.68x = 1,853,543.58
  5. Step 5: Solve for x
    x = 1,853,543.58/1,559.68
  6. Step 6: Final answer
    x = 1,188.41

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Why These Related Problems?

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