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Finding the Fourth Proportional to 3,092.34, 4,638.57 and 901.02

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Solution

The fourth proportional to 3,092.34, 4,638.57 and 901.02 is: 1,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.34 : 4,638.57 = 901.02 : x
  2. Step 2: Convert to fraction form
    3,092.34/4,638.57 = 901.02/x
  3. Step 3: Cross multiply
    3,092.34x = 4,638.57 × 901.02
  4. Step 4: Simplify right side
    3,092.34x = 4,179,444.34
  5. Step 5: Solve for x
    x = 4,179,444.34/3,092.34
  6. Step 6: Final answer
    x = 1,351.55

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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.