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Finding the Fourth Proportional to 1,337.96, 2,002.08 and 1,104.68

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Solution

The fourth proportional to 1,337.96, 2,002.08 and 1,104.68 is: 1,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.96 : 2,002.08 = 1,104.68 : x
  2. Step 2: Convert to fraction form
    1,337.96/2,002.08 = 1,104.68/x
  3. Step 3: Cross multiply
    1,337.96x = 2,002.08 × 1,104.68
  4. Step 4: Simplify right side
    1,337.96x = 2,211,657.73
  5. Step 5: Solve for x
    x = 2,211,657.73/1,337.96
  6. Step 6: Final answer
    x = 1,653.01

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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.