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Finding the Fourth Proportional to 2,937.62, 4,053.88 and 1,678.66

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Solution

The fourth proportional to 2,937.62, 4,053.88 and 1,678.66 is: 2,316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.62 : 4,053.88 = 1,678.66 : x
  2. Step 2: Convert to fraction form
    2,937.62/4,053.88 = 1,678.66/x
  3. Step 3: Cross multiply
    2,937.62x = 4,053.88 × 1,678.66
  4. Step 4: Simplify right side
    2,937.62x = 6,805,100.97
  5. Step 5: Solve for x
    x = 6,805,100.97/2,937.62
  6. Step 6: Final answer
    x = 2,316.53

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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.