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Finding the Fourth Proportional to 2,598.34, 3,897.37 and 749.38

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Solution

The fourth proportional to 2,598.34, 3,897.37 and 749.38 is: 1,124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.34 : 3,897.37 = 749.38 : x
  2. Step 2: Convert to fraction form
    2,598.34/3,897.37 = 749.38/x
  3. Step 3: Cross multiply
    2,598.34x = 3,897.37 × 749.38
  4. Step 4: Simplify right side
    2,598.34x = 2,920,611.13
  5. Step 5: Solve for x
    x = 2,920,611.13/2,598.34
  6. Step 6: Final answer
    x = 1,124.03

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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.