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Finding the Fourth Proportional to 2,569.80, 3,847.14 and 2,394.84

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Solution

The fourth proportional to 2,569.80, 3,847.14 and 2,394.84 is: 3,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.80 : 3,847.14 = 2,394.84 : x
  2. Step 2: Convert to fraction form
    2,569.80/3,847.14 = 2,394.84/x
  3. Step 3: Cross multiply
    2,569.80x = 3,847.14 × 2,394.84
  4. Step 4: Simplify right side
    2,569.80x = 9,213,284.76
  5. Step 5: Solve for x
    x = 9,213,284.76/2,569.80
  6. Step 6: Final answer
    x = 3,585.21

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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.