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Finding the Fourth Proportional to 1,866.66, 2,571.51 and 1,306.08

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Solution

The fourth proportional to 1,866.66, 2,571.51 and 1,306.08 is: 1,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.66 : 2,571.51 = 1,306.08 : x
  2. Step 2: Convert to fraction form
    1,866.66/2,571.51 = 1,306.08/x
  3. Step 3: Cross multiply
    1,866.66x = 2,571.51 × 1,306.08
  4. Step 4: Simplify right side
    1,866.66x = 3,358,597.78
  5. Step 5: Solve for x
    x = 3,358,597.78/1,866.66
  6. Step 6: Final answer
    x = 1,799.26

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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.