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Finding the Fourth Proportional to 1,808.68, 2,710.78 and 712.52

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Solution

The fourth proportional to 1,808.68, 2,710.78 and 712.52 is: 1,067.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.68 : 2,710.78 = 712.52 : x
  2. Step 2: Convert to fraction form
    1,808.68/2,710.78 = 712.52/x
  3. Step 3: Cross multiply
    1,808.68x = 2,710.78 × 712.52
  4. Step 4: Simplify right side
    1,808.68x = 1,931,484.97
  5. Step 5: Solve for x
    x = 1,931,484.97/1,808.68
  6. Step 6: Final answer
    x = 1,067.90

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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.