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Finding the Fourth Proportional to 2,865.80, 3,955.18 and 1,686.98

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Solution

The fourth proportional to 2,865.80, 3,955.18 and 1,686.98 is: 2,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.80 : 3,955.18 = 1,686.98 : x
  2. Step 2: Convert to fraction form
    2,865.80/3,955.18 = 1,686.98/x
  3. Step 3: Cross multiply
    2,865.80x = 3,955.18 × 1,686.98
  4. Step 4: Simplify right side
    2,865.80x = 6,672,309.56
  5. Step 5: Solve for x
    x = 6,672,309.56/2,865.80
  6. Step 6: Final answer
    x = 2,328.25

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