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Finding the Fourth Proportional to 1,678.69, 2,316.55 and 932.62

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Solution

The fourth proportional to 1,678.69, 2,316.55 and 932.62 is: 1,286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.69 : 2,316.55 = 932.62 : x
  2. Step 2: Convert to fraction form
    1,678.69/2,316.55 = 932.62/x
  3. Step 3: Cross multiply
    1,678.69x = 2,316.55 × 932.62
  4. Step 4: Simplify right side
    1,678.69x = 2,160,464.32
  5. Step 5: Solve for x
    x = 2,160,464.32/1,678.69
  6. Step 6: Final answer
    x = 1,286.99

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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.