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Finding the Fourth Proportional to 2,562.13, 3,535.11 and 1,709.70

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Solution

The fourth proportional to 2,562.13, 3,535.11 and 1,709.70 is: 2,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.13 : 3,535.11 = 1,709.70 : x
  2. Step 2: Convert to fraction form
    2,562.13/3,535.11 = 1,709.70/x
  3. Step 3: Cross multiply
    2,562.13x = 3,535.11 × 1,709.70
  4. Step 4: Simplify right side
    2,562.13x = 6,043,979.99
  5. Step 5: Solve for x
    x = 6,043,979.99/2,562.13
  6. Step 6: Final answer
    x = 2,358.97

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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.