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Finding the Fourth Proportional to 2,866.24, 3,955.26 and 1,687.42

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Solution

The fourth proportional to 2,866.24, 3,955.26 and 1,687.42 is: 2,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.24 : 3,955.26 = 1,687.42 : x
  2. Step 2: Convert to fraction form
    2,866.24/3,955.26 = 1,687.42/x
  3. Step 3: Cross multiply
    2,866.24x = 3,955.26 × 1,687.42
  4. Step 4: Simplify right side
    2,866.24x = 6,674,184.83
  5. Step 5: Solve for x
    x = 6,674,184.83/2,866.24
  6. Step 6: Final answer
    x = 2,328.55

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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.