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Finding the Fourth Proportional to 1,678.52, 2,519.61 and 1,272.11

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Solution

The fourth proportional to 1,678.52, 2,519.61 and 1,272.11 is: 1,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.52 : 2,519.61 = 1,272.11 : x
  2. Step 2: Convert to fraction form
    1,678.52/2,519.61 = 1,272.11/x
  3. Step 3: Cross multiply
    1,678.52x = 2,519.61 × 1,272.11
  4. Step 4: Simplify right side
    1,678.52x = 3,205,203.71
  5. Step 5: Solve for x
    x = 3,205,203.71/1,678.52
  6. Step 6: Final answer
    x = 1,909.54

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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.