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Finding the Fourth Proportional to 2,471.90, 3,689.80 and 2,160.50

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Solution

The fourth proportional to 2,471.90, 3,689.80 and 2,160.50 is: 3,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.90 : 3,689.80 = 2,160.50 : x
  2. Step 2: Convert to fraction form
    2,471.90/3,689.80 = 2,160.50/x
  3. Step 3: Cross multiply
    2,471.90x = 3,689.80 × 2,160.50
  4. Step 4: Simplify right side
    2,471.90x = 7,971,812.90
  5. Step 5: Solve for x
    x = 7,971,812.90/2,471.90
  6. Step 6: Final answer
    x = 3,224.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.