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Finding the Fourth Proportional to 2,899.89, 4,002.48 and 1,781.42

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Solution

The fourth proportional to 2,899.89, 4,002.48 and 1,781.42 is: 2,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.89 : 4,002.48 = 1,781.42 : x
  2. Step 2: Convert to fraction form
    2,899.89/4,002.48 = 1,781.42/x
  3. Step 3: Cross multiply
    2,899.89x = 4,002.48 × 1,781.42
  4. Step 4: Simplify right side
    2,899.89x = 7,130,077.91
  5. Step 5: Solve for x
    x = 7,130,077.91/2,899.89
  6. Step 6: Final answer
    x = 2,458.74

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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.