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Finding the Fourth Proportional to 3,092.42, 4,638.62 and 752.40

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Solution

The fourth proportional to 3,092.42, 4,638.62 and 752.40 is: 1,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.42 : 4,638.62 = 752.40 : x
  2. Step 2: Convert to fraction form
    3,092.42/4,638.62 = 752.40/x
  3. Step 3: Cross multiply
    3,092.42x = 4,638.62 × 752.40
  4. Step 4: Simplify right side
    3,092.42x = 3,490,099.57
  5. Step 5: Solve for x
    x = 3,490,099.57/3,092.42
  6. Step 6: Final answer
    x = 1,128.60

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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.