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Finding the Fourth Proportional to 2,873.68, 4,314.16 and 2,443.57

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Solution

The fourth proportional to 2,873.68, 4,314.16 and 2,443.57 is: 3,668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.68 : 4,314.16 = 2,443.57 : x
  2. Step 2: Convert to fraction form
    2,873.68/4,314.16 = 2,443.57/x
  3. Step 3: Cross multiply
    2,873.68x = 4,314.16 × 2,443.57
  4. Step 4: Simplify right side
    2,873.68x = 10,541,944.22
  5. Step 5: Solve for x
    x = 10,541,944.22/2,873.68
  6. Step 6: Final answer
    x = 3,668.45

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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.