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Finding the Fourth Proportional to 3,115.72, 4,673.70 and 807.28

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Solution

The fourth proportional to 3,115.72, 4,673.70 and 807.28 is: 1,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.72 : 4,673.70 = 807.28 : x
  2. Step 2: Convert to fraction form
    3,115.72/4,673.70 = 807.28/x
  3. Step 3: Cross multiply
    3,115.72x = 4,673.70 × 807.28
  4. Step 4: Simplify right side
    3,115.72x = 3,772,984.54
  5. Step 5: Solve for x
    x = 3,772,984.54/3,115.72
  6. Step 6: Final answer
    x = 1,210.95

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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.