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Finding the Fourth Proportional to 2,063.52, 2,847.54 and 1,224.51

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Solution

The fourth proportional to 2,063.52, 2,847.54 and 1,224.51 is: 1,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.52 : 2,847.54 = 1,224.51 : x
  2. Step 2: Convert to fraction form
    2,063.52/2,847.54 = 1,224.51/x
  3. Step 3: Cross multiply
    2,063.52x = 2,847.54 × 1,224.51
  4. Step 4: Simplify right side
    2,063.52x = 3,486,841.21
  5. Step 5: Solve for x
    x = 3,486,841.21/2,063.52
  6. Step 6: Final answer
    x = 1,689.75

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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.