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Finding the Fourth Proportional to 2,902.60, 4,004.50 and 2,275.56

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Solution

The fourth proportional to 2,902.60, 4,004.50 and 2,275.56 is: 3,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.60 : 4,004.50 = 2,275.56 : x
  2. Step 2: Convert to fraction form
    2,902.60/4,004.50 = 2,275.56/x
  3. Step 3: Cross multiply
    2,902.60x = 4,004.50 × 2,275.56
  4. Step 4: Simplify right side
    2,902.60x = 9,112,480.02
  5. Step 5: Solve for x
    x = 9,112,480.02/2,902.60
  6. Step 6: Final answer
    x = 3,139.42

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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.