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Finding the Fourth Proportional to 2,502.63, 3,453.84 and 1,454.76

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Solution

The fourth proportional to 2,502.63, 3,453.84 and 1,454.76 is: 2,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.63 : 3,453.84 = 1,454.76 : x
  2. Step 2: Convert to fraction form
    2,502.63/3,453.84 = 1,454.76/x
  3. Step 3: Cross multiply
    2,502.63x = 3,453.84 × 1,454.76
  4. Step 4: Simplify right side
    2,502.63x = 5,024,508.28
  5. Step 5: Solve for x
    x = 5,024,508.28/2,502.63
  6. Step 6: Final answer
    x = 2,007.69

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1.5x scale

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.