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Finding the Fourth Proportional to 2,754.73, 4,131.48 and 807.08

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Solution

The fourth proportional to 2,754.73, 4,131.48 and 807.08 is: 1,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.73 : 4,131.48 = 807.08 : x
  2. Step 2: Convert to fraction form
    2,754.73/4,131.48 = 807.08/x
  3. Step 3: Cross multiply
    2,754.73x = 4,131.48 × 807.08
  4. Step 4: Simplify right side
    2,754.73x = 3,334,445.21
  5. Step 5: Solve for x
    x = 3,334,445.21/2,754.73
  6. Step 6: Final answer
    x = 1,210.44

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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.