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Finding the Fourth Proportional to 2,894.47, 4,318.24 and 2,656.60

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Solution

The fourth proportional to 2,894.47, 4,318.24 and 2,656.60 is: 3,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.47 : 4,318.24 = 2,656.60 : x
  2. Step 2: Convert to fraction form
    2,894.47/4,318.24 = 2,656.60/x
  3. Step 3: Cross multiply
    2,894.47x = 4,318.24 × 2,656.60
  4. Step 4: Simplify right side
    2,894.47x = 11,471,836.38
  5. Step 5: Solve for x
    x = 11,471,836.38/2,894.47
  6. Step 6: Final answer
    x = 3,963.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.