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Finding the Fourth Proportional to 2,080.52, 2,873.14 and 1,294.92

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Solution

The fourth proportional to 2,080.52, 2,873.14 and 1,294.92 is: 1,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.52 : 2,873.14 = 1,294.92 : x
  2. Step 2: Convert to fraction form
    2,080.52/2,873.14 = 1,294.92/x
  3. Step 3: Cross multiply
    2,080.52x = 2,873.14 × 1,294.92
  4. Step 4: Simplify right side
    2,080.52x = 3,720,486.45
  5. Step 5: Solve for x
    x = 3,720,486.45/2,080.52
  6. Step 6: Final answer
    x = 1,788.25

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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.