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Finding the Fourth Proportional to 2,788.32, 3,842.40 and 2,000.88

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Solution

The fourth proportional to 2,788.32, 3,842.40 and 2,000.88 is: 2,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.32 : 3,842.40 = 2,000.88 : x
  2. Step 2: Convert to fraction form
    2,788.32/3,842.40 = 2,000.88/x
  3. Step 3: Cross multiply
    2,788.32x = 3,842.40 × 2,000.88
  4. Step 4: Simplify right side
    2,788.32x = 7,688,181.31
  5. Step 5: Solve for x
    x = 7,688,181.31/2,788.32
  6. Step 6: Final answer
    x = 2,757.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.