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Finding the Fourth Proportional to 2,535.96, 3,499.26 and 1,541.28

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Solution

The fourth proportional to 2,535.96, 3,499.26 and 1,541.28 is: 2,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.96 : 3,499.26 = 1,541.28 : x
  2. Step 2: Convert to fraction form
    2,535.96/3,499.26 = 1,541.28/x
  3. Step 3: Cross multiply
    2,535.96x = 3,499.26 × 1,541.28
  4. Step 4: Simplify right side
    2,535.96x = 5,393,339.45
  5. Step 5: Solve for x
    x = 5,393,339.45/2,535.96
  6. Step 6: Final answer
    x = 2,126.74

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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.