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Finding the Fourth Proportional to 2,293.52, 3,165 and 1,298.78

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Solution

The fourth proportional to 2,293.52, 3,165 and 1,298.78 is: 1,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.52 : 3,165 = 1,298.78 : x
  2. Step 2: Convert to fraction form
    2,293.52/3,165 = 1,298.78/x
  3. Step 3: Cross multiply
    2,293.52x = 3,165 × 1,298.78
  4. Step 4: Simplify right side
    2,293.52x = 4,110,638.70
  5. Step 5: Solve for x
    x = 4,110,638.70/2,293.52
  6. Step 6: Final answer
    x = 1,792.28

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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.