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Finding the Fourth Proportional to 2,478.65, 3,422.03 and 1,535.70

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Solution

The fourth proportional to 2,478.65, 3,422.03 and 1,535.70 is: 2,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.65 : 3,422.03 = 1,535.70 : x
  2. Step 2: Convert to fraction form
    2,478.65/3,422.03 = 1,535.70/x
  3. Step 3: Cross multiply
    2,478.65x = 3,422.03 × 1,535.70
  4. Step 4: Simplify right side
    2,478.65x = 5,255,211.47
  5. Step 5: Solve for x
    x = 5,255,211.47/2,478.65
  6. Step 6: Final answer
    x = 2,120.19

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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.