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Finding the Fourth Proportional to 2,458.64, 3,691.16 and 2,358.80

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Solution

The fourth proportional to 2,458.64, 3,691.16 and 2,358.80 is: 3,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.64 : 3,691.16 = 2,358.80 : x
  2. Step 2: Convert to fraction form
    2,458.64/3,691.16 = 2,358.80/x
  3. Step 3: Cross multiply
    2,458.64x = 3,691.16 × 2,358.80
  4. Step 4: Simplify right side
    2,458.64x = 8,706,708.21
  5. Step 5: Solve for x
    x = 8,706,708.21/2,458.64
  6. Step 6: Final answer
    x = 3,541.27

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1.5x scale

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.