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Finding the Fourth Proportional to 2,007.71, 2,771.00 and 1,344.66

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Solution

The fourth proportional to 2,007.71, 2,771.00 and 1,344.66 is: 1,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.71 : 2,771.00 = 1,344.66 : x
  2. Step 2: Convert to fraction form
    2,007.71/2,771.00 = 1,344.66/x
  3. Step 3: Cross multiply
    2,007.71x = 2,771.00 × 1,344.66
  4. Step 4: Simplify right side
    2,007.71x = 3,726,058.38
  5. Step 5: Solve for x
    x = 3,726,058.38/2,007.71
  6. Step 6: Final answer
    x = 1,855.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.