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Finding the Fourth Proportional to 3,254.70, 4,490.58 and 2,074.80

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Solution

The fourth proportional to 3,254.70, 4,490.58 and 2,074.80 is: 2,862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.70 : 4,490.58 = 2,074.80 : x
  2. Step 2: Convert to fraction form
    3,254.70/4,490.58 = 2,074.80/x
  3. Step 3: Cross multiply
    3,254.70x = 4,490.58 × 2,074.80
  4. Step 4: Simplify right side
    3,254.70x = 9,317,055.38
  5. Step 5: Solve for x
    x = 9,317,055.38/3,254.70
  6. Step 6: Final answer
    x = 2,862.65

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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.