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Finding the Fourth Proportional to 2,862.67, 4,290.90 and 1,398.55

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Solution

The fourth proportional to 2,862.67, 4,290.90 and 1,398.55 is: 2,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.67 : 4,290.90 = 1,398.55 : x
  2. Step 2: Convert to fraction form
    2,862.67/4,290.90 = 1,398.55/x
  3. Step 3: Cross multiply
    2,862.67x = 4,290.90 × 1,398.55
  4. Step 4: Simplify right side
    2,862.67x = 6,001,038.20
  5. Step 5: Solve for x
    x = 6,001,038.20/2,862.67
  6. Step 6: Final answer
    x = 2,096.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.