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Finding the Fourth Proportional to 2,348.34, 3,239.82 and 1,404.20

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Solution

The fourth proportional to 2,348.34, 3,239.82 and 1,404.20 is: 1,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.34 : 3,239.82 = 1,404.20 : x
  2. Step 2: Convert to fraction form
    2,348.34/3,239.82 = 1,404.20/x
  3. Step 3: Cross multiply
    2,348.34x = 3,239.82 × 1,404.20
  4. Step 4: Simplify right side
    2,348.34x = 4,549,355.24
  5. Step 5: Solve for x
    x = 4,549,355.24/2,348.34
  6. Step 6: Final answer
    x = 1,937.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.