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Finding the Fourth Proportional to 2,497.60, 3,447.01 and 2,077.23

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Solution

The fourth proportional to 2,497.60, 3,447.01 and 2,077.23 is: 2,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.60 : 3,447.01 = 2,077.23 : x
  2. Step 2: Convert to fraction form
    2,497.60/3,447.01 = 2,077.23/x
  3. Step 3: Cross multiply
    2,497.60x = 3,447.01 × 2,077.23
  4. Step 4: Simplify right side
    2,497.60x = 7,160,232.58
  5. Step 5: Solve for x
    x = 7,160,232.58/2,497.60
  6. Step 6: Final answer
    x = 2,866.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.