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Finding the Fourth Proportional to 2,535.94, 3,499.13 and 1,749.70

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Solution

The fourth proportional to 2,535.94, 3,499.13 and 1,749.70 is: 2,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.94 : 3,499.13 = 1,749.70 : x
  2. Step 2: Convert to fraction form
    2,535.94/3,499.13 = 1,749.70/x
  3. Step 3: Cross multiply
    2,535.94x = 3,499.13 × 1,749.70
  4. Step 4: Simplify right side
    2,535.94x = 6,122,427.76
  5. Step 5: Solve for x
    x = 6,122,427.76/2,535.94
  6. Step 6: Final answer
    x = 2,414.26

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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.