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Finding the Fourth Proportional to 2,283.67, 3,148.59 and 1,863.59

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Solution

The fourth proportional to 2,283.67, 3,148.59 and 1,863.59 is: 2,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.67 : 3,148.59 = 1,863.59 : x
  2. Step 2: Convert to fraction form
    2,283.67/3,148.59 = 1,863.59/x
  3. Step 3: Cross multiply
    2,283.67x = 3,148.59 × 1,863.59
  4. Step 4: Simplify right side
    2,283.67x = 5,867,688.71
  5. Step 5: Solve for x
    x = 5,867,688.71/2,283.67
  6. Step 6: Final answer
    x = 2,569.41

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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.