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Finding the Fourth Proportional to 2,535.71, 3,499.00 and 1,540.76

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Solution

The fourth proportional to 2,535.71, 3,499.00 and 1,540.76 is: 2,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.71 : 3,499.00 = 1,540.76 : x
  2. Step 2: Convert to fraction form
    2,535.71/3,499.00 = 1,540.76/x
  3. Step 3: Cross multiply
    2,535.71x = 3,499.00 × 1,540.76
  4. Step 4: Simplify right side
    2,535.71x = 5,391,097.89
  5. Step 5: Solve for x
    x = 5,391,097.89/2,535.71
  6. Step 6: Final answer
    x = 2,126.07

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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.