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Finding the Fourth Proportional to 2,788.64, 4,162.96 and 2,594.24

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Solution

The fourth proportional to 2,788.64, 4,162.96 and 2,594.24 is: 3,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.64 : 4,162.96 = 2,594.24 : x
  2. Step 2: Convert to fraction form
    2,788.64/4,162.96 = 2,594.24/x
  3. Step 3: Cross multiply
    2,788.64x = 4,162.96 × 2,594.24
  4. Step 4: Simplify right side
    2,788.64x = 10,799,717.35
  5. Step 5: Solve for x
    x = 10,799,717.35/2,788.64
  6. Step 6: Final answer
    x = 3,872.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.