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Finding the Fourth Proportional to 2,409.43, 3,614.30 and 948.70

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Solution

The fourth proportional to 2,409.43, 3,614.30 and 948.70 is: 1,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.43 : 3,614.30 = 948.70 : x
  2. Step 2: Convert to fraction form
    2,409.43/3,614.30 = 948.70/x
  3. Step 3: Cross multiply
    2,409.43x = 3,614.30 × 948.70
  4. Step 4: Simplify right side
    2,409.43x = 3,428,886.41
  5. Step 5: Solve for x
    x = 3,428,886.41/2,409.43
  6. Step 6: Final answer
    x = 1,423.11

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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.