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Finding the Fourth Proportional to 2,289.90, 3,160.08 and 1,295.22

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Solution

The fourth proportional to 2,289.90, 3,160.08 and 1,295.22 is: 1,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.90 : 3,160.08 = 1,295.22 : x
  2. Step 2: Convert to fraction form
    2,289.90/3,160.08 = 1,295.22/x
  3. Step 3: Cross multiply
    2,289.90x = 3,160.08 × 1,295.22
  4. Step 4: Simplify right side
    2,289.90x = 4,092,998.82
  5. Step 5: Solve for x
    x = 4,092,998.82/2,289.90
  6. Step 6: Final answer
    x = 1,787.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.