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Finding the Fourth Proportional to 1,652.33, 2,478.60 and 557.42

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Solution

The fourth proportional to 1,652.33, 2,478.60 and 557.42 is: 836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.33 : 2,478.60 = 557.42 : x
  2. Step 2: Convert to fraction form
    1,652.33/2,478.60 = 557.42/x
  3. Step 3: Cross multiply
    1,652.33x = 2,478.60 × 557.42
  4. Step 4: Simplify right side
    1,652.33x = 1,381,608.82
  5. Step 5: Solve for x
    x = 1,381,608.82/1,652.33
  6. Step 6: Final answer
    x = 836.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.