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Finding the Fourth Proportional to 1,559.84, 2,152.52 and 861.20

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Solution

The fourth proportional to 1,559.84, 2,152.52 and 861.20 is: 1,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.84 : 2,152.52 = 861.20 : x
  2. Step 2: Convert to fraction form
    1,559.84/2,152.52 = 861.20/x
  3. Step 3: Cross multiply
    1,559.84x = 2,152.52 × 861.20
  4. Step 4: Simplify right side
    1,559.84x = 1,853,750.22
  5. Step 5: Solve for x
    x = 1,853,750.22/1,559.84
  6. Step 6: Final answer
    x = 1,188.42

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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.