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Finding the Fourth Proportional to 2,414.33, 3,621.53 and 953.46

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Solution

The fourth proportional to 2,414.33, 3,621.53 and 953.46 is: 1,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.33 : 3,621.53 = 953.46 : x
  2. Step 2: Convert to fraction form
    2,414.33/3,621.53 = 953.46/x
  3. Step 3: Cross multiply
    2,414.33x = 3,621.53 × 953.46
  4. Step 4: Simplify right side
    2,414.33x = 3,452,979.23
  5. Step 5: Solve for x
    x = 3,452,979.23/2,414.33
  6. Step 6: Final answer
    x = 1,430.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.