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Finding the Fourth Proportional to 2,040.48, 3,058.74 and 807.48

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Solution

The fourth proportional to 2,040.48, 3,058.74 and 807.48 is: 1,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.48 : 3,058.74 = 807.48 : x
  2. Step 2: Convert to fraction form
    2,040.48/3,058.74 = 807.48/x
  3. Step 3: Cross multiply
    2,040.48x = 3,058.74 × 807.48
  4. Step 4: Simplify right side
    2,040.48x = 2,469,871.38
  5. Step 5: Solve for x
    x = 2,469,871.38/2,040.48
  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.