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Finding the Fourth Proportional to 2,449.34, 3,381.18 and 1,454.93

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Solution

The fourth proportional to 2,449.34, 3,381.18 and 1,454.93 is: 2,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.34 : 3,381.18 = 1,454.93 : x
  2. Step 2: Convert to fraction form
    2,449.34/3,381.18 = 1,454.93/x
  3. Step 3: Cross multiply
    2,449.34x = 3,381.18 × 1,454.93
  4. Step 4: Simplify right side
    2,449.34x = 4,919,388.67
  5. Step 5: Solve for x
    x = 4,919,388.67/2,449.34
  6. Step 6: Final answer
    x = 2,008.46

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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.