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Finding the Fourth Proportional to 2,460.50, 3,707.72 and 2,229.38

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Solution

The fourth proportional to 2,460.50, 3,707.72 and 2,229.38 is: 3,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.50 : 3,707.72 = 2,229.38 : x
  2. Step 2: Convert to fraction form
    2,460.50/3,707.72 = 2,229.38/x
  3. Step 3: Cross multiply
    2,460.50x = 3,707.72 × 2,229.38
  4. Step 4: Simplify right side
    2,460.50x = 8,265,916.81
  5. Step 5: Solve for x
    x = 8,265,916.81/2,460.50
  6. Step 6: Final answer
    x = 3,359.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.