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Finding the Fourth Proportional to 1,598.08, 2,397.38 and 817.66

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Solution

The fourth proportional to 1,598.08, 2,397.38 and 817.66 is: 1,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.08 : 2,397.38 = 817.66 : x
  2. Step 2: Convert to fraction form
    1,598.08/2,397.38 = 817.66/x
  3. Step 3: Cross multiply
    1,598.08x = 2,397.38 × 817.66
  4. Step 4: Simplify right side
    1,598.08x = 1,960,241.73
  5. Step 5: Solve for x
    x = 1,960,241.73/1,598.08
  6. Step 6: Final answer
    x = 1,226.62

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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.