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Finding the Fourth Proportional to 2,310.56, 3,468.42 and 924.86

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Solution

The fourth proportional to 2,310.56, 3,468.42 and 924.86 is: 1,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.56 : 3,468.42 = 924.86 : x
  2. Step 2: Convert to fraction form
    2,310.56/3,468.42 = 924.86/x
  3. Step 3: Cross multiply
    2,310.56x = 3,468.42 × 924.86
  4. Step 4: Simplify right side
    2,310.56x = 3,207,785.58
  5. Step 5: Solve for x
    x = 3,207,785.58/2,310.56
  6. Step 6: Final answer
    x = 1,388.32

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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.