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Finding the Fourth Proportional to 2,860.68, 3,948.45 and 1,682.55

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Solution

The fourth proportional to 2,860.68, 3,948.45 and 1,682.55 is: 2,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.68 : 3,948.45 = 1,682.55 : x
  2. Step 2: Convert to fraction form
    2,860.68/3,948.45 = 1,682.55/x
  3. Step 3: Cross multiply
    2,860.68x = 3,948.45 × 1,682.55
  4. Step 4: Simplify right side
    2,860.68x = 6,643,464.55
  5. Step 5: Solve for x
    x = 6,643,464.55/2,860.68
  6. Step 6: Final answer
    x = 2,322.34

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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.