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Finding the Fourth Proportional to 2,678.74, 4,023.90 and 2,591.26

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Solution

The fourth proportional to 2,678.74, 4,023.90 and 2,591.26 is: 3,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.74 : 4,023.90 = 2,591.26 : x
  2. Step 2: Convert to fraction form
    2,678.74/4,023.90 = 2,591.26/x
  3. Step 3: Cross multiply
    2,678.74x = 4,023.90 × 2,591.26
  4. Step 4: Simplify right side
    2,678.74x = 10,426,971.11
  5. Step 5: Solve for x
    x = 10,426,971.11/2,678.74
  6. Step 6: Final answer
    x = 3,892.49

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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.