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Finding the Fourth Proportional to 2,873.04, 4,309.56 and 925.24

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Solution

The fourth proportional to 2,873.04, 4,309.56 and 925.24 is: 1,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.04 : 4,309.56 = 925.24 : x
  2. Step 2: Convert to fraction form
    2,873.04/4,309.56 = 925.24/x
  3. Step 3: Cross multiply
    2,873.04x = 4,309.56 × 925.24
  4. Step 4: Simplify right side
    2,873.04x = 3,987,377.29
  5. Step 5: Solve for x
    x = 3,987,377.29/2,873.04
  6. Step 6: Final answer
    x = 1,387.86

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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.