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Finding the Fourth Proportional to 2,866.58, 3,955.68 and 1,687.43

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Solution

The fourth proportional to 2,866.58, 3,955.68 and 1,687.43 is: 2,328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.58 : 3,955.68 = 1,687.43 : x
  2. Step 2: Convert to fraction form
    2,866.58/3,955.68 = 1,687.43/x
  3. Step 3: Cross multiply
    2,866.58x = 3,955.68 × 1,687.43
  4. Step 4: Simplify right side
    2,866.58x = 6,674,913.32
  5. Step 5: Solve for x
    x = 6,674,913.32/2,866.58
  6. Step 6: Final answer
    x = 2,328.53

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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.