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Finding the Fourth Proportional to 2,289.83, 3,159.83 and 1,295.15

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Solution

The fourth proportional to 2,289.83, 3,159.83 and 1,295.15 is: 1,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.83 : 3,159.83 = 1,295.15 : x
  2. Step 2: Convert to fraction form
    2,289.83/3,159.83 = 1,295.15/x
  3. Step 3: Cross multiply
    2,289.83x = 3,159.83 × 1,295.15
  4. Step 4: Simplify right side
    2,289.83x = 4,092,431.55
  5. Step 5: Solve for x
    x = 4,092,431.55/2,289.83
  6. Step 6: Final answer
    x = 1,787.22

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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.