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Finding the Fourth Proportional to 2,409.76, 3,614.40 and 948.52

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Solution

The fourth proportional to 2,409.76, 3,614.40 and 948.52 is: 1,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.76 : 3,614.40 = 948.52 : x
  2. Step 2: Convert to fraction form
    2,409.76/3,614.40 = 948.52/x
  3. Step 3: Cross multiply
    2,409.76x = 3,614.40 × 948.52
  4. Step 4: Simplify right side
    2,409.76x = 3,428,330.69
  5. Step 5: Solve for x
    x = 3,428,330.69/2,409.76
  6. Step 6: Final answer
    x = 1,422.69

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Why These Related Problems?

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