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Finding the Fourth Proportional to 1,678.64, 2,517.88 and 812.08

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Solution

The fourth proportional to 1,678.64, 2,517.88 and 812.08 is: 1,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.64 : 2,517.88 = 812.08 : x
  2. Step 2: Convert to fraction form
    1,678.64/2,517.88 = 812.08/x
  3. Step 3: Cross multiply
    1,678.64x = 2,517.88 × 812.08
  4. Step 4: Simplify right side
    1,678.64x = 2,044,719.99
  5. Step 5: Solve for x
    x = 2,044,719.99/1,678.64
  6. Step 6: Final answer
    x = 1,218.08

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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.