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Finding the Fourth Proportional to 2,782.80, 4,173.93 and 1,686.87

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Solution

The fourth proportional to 2,782.80, 4,173.93 and 1,686.87 is: 2,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.80 : 4,173.93 = 1,686.87 : x
  2. Step 2: Convert to fraction form
    2,782.80/4,173.93 = 1,686.87/x
  3. Step 3: Cross multiply
    2,782.80x = 4,173.93 × 1,686.87
  4. Step 4: Simplify right side
    2,782.80x = 7,040,877.30
  5. Step 5: Solve for x
    x = 7,040,877.30/2,782.80
  6. Step 6: Final answer
    x = 2,530.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.