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Finding the Fourth Proportional to 2,098.76, 3,143.35 and 1,003.90

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Solution

The fourth proportional to 2,098.76, 3,143.35 and 1,003.90 is: 1,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.76 : 3,143.35 = 1,003.90 : x
  2. Step 2: Convert to fraction form
    2,098.76/3,143.35 = 1,003.90/x
  3. Step 3: Cross multiply
    2,098.76x = 3,143.35 × 1,003.90
  4. Step 4: Simplify right side
    2,098.76x = 3,155,609.07
  5. Step 5: Solve for x
    x = 3,155,609.07/2,098.76
  6. Step 6: Final answer
    x = 1,503.56

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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.