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Finding the Fourth Proportional to 2,535.80, 3,500.94 and 2,378.93

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Solution

The fourth proportional to 2,535.80, 3,500.94 and 2,378.93 is: 3,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.80 : 3,500.94 = 2,378.93 : x
  2. Step 2: Convert to fraction form
    2,535.80/3,500.94 = 2,378.93/x
  3. Step 3: Cross multiply
    2,535.80x = 3,500.94 × 2,378.93
  4. Step 4: Simplify right side
    2,535.80x = 8,328,473.69
  5. Step 5: Solve for x
    x = 8,328,473.69/2,535.80
  6. Step 6: Final answer
    x = 3,284.36

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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.