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Finding the Fourth Proportional to 1,638.79, 2,458.98 and 817.18

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Solution

The fourth proportional to 1,638.79, 2,458.98 and 817.18 is: 1,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.79 : 2,458.98 = 817.18 : x
  2. Step 2: Convert to fraction form
    1,638.79/2,458.98 = 817.18/x
  3. Step 3: Cross multiply
    1,638.79x = 2,458.98 × 817.18
  4. Step 4: Simplify right side
    1,638.79x = 2,009,432.35
  5. Step 5: Solve for x
    x = 2,009,432.35/1,638.79
  6. Step 6: Final answer
    x = 1,226.17

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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.