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Finding the Fourth Proportional to 1,678.71, 2,318.04 and 1,182.45

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Solution

The fourth proportional to 1,678.71, 2,318.04 and 1,182.45 is: 1,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.71 : 2,318.04 = 1,182.45 : x
  2. Step 2: Convert to fraction form
    1,678.71/2,318.04 = 1,182.45/x
  3. Step 3: Cross multiply
    1,678.71x = 2,318.04 × 1,182.45
  4. Step 4: Simplify right side
    1,678.71x = 2,740,966.40
  5. Step 5: Solve for x
    x = 2,740,966.40/1,678.71
  6. Step 6: Final answer
    x = 1,632.78

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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.