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Finding the Fourth Proportional to 2,077.67, 2,866.91 and 1,332.64

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Solution

The fourth proportional to 2,077.67, 2,866.91 and 1,332.64 is: 1,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.67 : 2,866.91 = 1,332.64 : x
  2. Step 2: Convert to fraction form
    2,077.67/2,866.91 = 1,332.64/x
  3. Step 3: Cross multiply
    2,077.67x = 2,866.91 × 1,332.64
  4. Step 4: Simplify right side
    2,077.67x = 3,820,553.71
  5. Step 5: Solve for x
    x = 3,820,553.71/2,077.67
  6. Step 6: Final answer
    x = 1,838.87

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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.