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Finding the Fourth Proportional to 2,666.92, 3,680.01 and 1,488.04

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Solution

The fourth proportional to 2,666.92, 3,680.01 and 1,488.04 is: 2,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.92 : 3,680.01 = 1,488.04 : x
  2. Step 2: Convert to fraction form
    2,666.92/3,680.01 = 1,488.04/x
  3. Step 3: Cross multiply
    2,666.92x = 3,680.01 × 1,488.04
  4. Step 4: Simplify right side
    2,666.92x = 5,476,002.08
  5. Step 5: Solve for x
    x = 5,476,002.08/2,666.92
  6. Step 6: Final answer
    x = 2,053.31

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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.