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Finding the Fourth Proportional to 2,535.52, 3,769.06 and 2,460.78

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Solution

The fourth proportional to 2,535.52, 3,769.06 and 2,460.78 is: 3,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.52 : 3,769.06 = 2,460.78 : x
  2. Step 2: Convert to fraction form
    2,535.52/3,769.06 = 2,460.78/x
  3. Step 3: Cross multiply
    2,535.52x = 3,769.06 × 2,460.78
  4. Step 4: Simplify right side
    2,535.52x = 9,274,827.47
  5. Step 5: Solve for x
    x = 9,274,827.47/2,535.52
  6. Step 6: Final answer
    x = 3,657.96

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