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Finding the Fourth Proportional to 2,474.08, 3,708.96 and 934.08

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Solution

The fourth proportional to 2,474.08, 3,708.96 and 934.08 is: 1,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.08 : 3,708.96 = 934.08 : x
  2. Step 2: Convert to fraction form
    2,474.08/3,708.96 = 934.08/x
  3. Step 3: Cross multiply
    2,474.08x = 3,708.96 × 934.08
  4. Step 4: Simplify right side
    2,474.08x = 3,464,465.36
  5. Step 5: Solve for x
    x = 3,464,465.36/2,474.08
  6. Step 6: Final answer
    x = 1,400.30

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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.