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Finding the Fourth Proportional to 2,598.26, 3,897.35 and 749.30

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Solution

The fourth proportional to 2,598.26, 3,897.35 and 749.30 is: 1,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.26 : 3,897.35 = 749.30 : x
  2. Step 2: Convert to fraction form
    2,598.26/3,897.35 = 749.30/x
  3. Step 3: Cross multiply
    2,598.26x = 3,897.35 × 749.30
  4. Step 4: Simplify right side
    2,598.26x = 2,920,280.61
  5. Step 5: Solve for x
    x = 2,920,280.61/2,598.26
  6. Step 6: Final answer
    x = 1,123.94

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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.