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Finding the Fourth Proportional to 1,184.52, 1,632.40 and 1,026.68

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Solution

The fourth proportional to 1,184.52, 1,632.40 and 1,026.68 is: 1,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.52 : 1,632.40 = 1,026.68 : x
  2. Step 2: Convert to fraction form
    1,184.52/1,632.40 = 1,026.68/x
  3. Step 3: Cross multiply
    1,184.52x = 1,632.40 × 1,026.68
  4. Step 4: Simplify right side
    1,184.52x = 1,675,952.43
  5. Step 5: Solve for x
    x = 1,675,952.43/1,184.52
  6. Step 6: Final answer
    x = 1,414.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.