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Finding the Fourth Proportional to 2,862.60, 4,297.10 and 1,563.40

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Solution

The fourth proportional to 2,862.60, 4,297.10 and 1,563.40 is: 2,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.60 : 4,297.10 = 1,563.40 : x
  2. Step 2: Convert to fraction form
    2,862.60/4,297.10 = 1,563.40/x
  3. Step 3: Cross multiply
    2,862.60x = 4,297.10 × 1,563.40
  4. Step 4: Simplify right side
    2,862.60x = 6,718,086.14
  5. Step 5: Solve for x
    x = 6,718,086.14/2,862.60
  6. Step 6: Final answer
    x = 2,346.85

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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.