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Finding the Fourth Proportional to 2,800.68, 3,862.08 and 2,403.69

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Solution

The fourth proportional to 2,800.68, 3,862.08 and 2,403.69 is: 3,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.68 : 3,862.08 = 2,403.69 : x
  2. Step 2: Convert to fraction form
    2,800.68/3,862.08 = 2,403.69/x
  3. Step 3: Cross multiply
    2,800.68x = 3,862.08 × 2,403.69
  4. Step 4: Simplify right side
    2,800.68x = 9,283,243.08
  5. Step 5: Solve for x
    x = 9,283,243.08/2,800.68
  6. Step 6: Final answer
    x = 3,314.64

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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.