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Finding the Fourth Proportional to 2,448.56, 3,673.08 and 805.12

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Solution

The fourth proportional to 2,448.56, 3,673.08 and 805.12 is: 1,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.56 : 3,673.08 = 805.12 : x
  2. Step 2: Convert to fraction form
    2,448.56/3,673.08 = 805.12/x
  3. Step 3: Cross multiply
    2,448.56x = 3,673.08 × 805.12
  4. Step 4: Simplify right side
    2,448.56x = 2,957,270.17
  5. Step 5: Solve for x
    x = 2,957,270.17/2,448.56
  6. Step 6: Final answer
    x = 1,207.76

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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.