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Finding the Fourth Proportional to 2,293.80, 3,165.42 and 1,409.28

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Solution

The fourth proportional to 2,293.80, 3,165.42 and 1,409.28 is: 1,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.80 : 3,165.42 = 1,409.28 : x
  2. Step 2: Convert to fraction form
    2,293.80/3,165.42 = 1,409.28/x
  3. Step 3: Cross multiply
    2,293.80x = 3,165.42 × 1,409.28
  4. Step 4: Simplify right side
    2,293.80x = 4,460,963.10
  5. Step 5: Solve for x
    x = 4,460,963.10/2,293.80
  6. Step 6: Final answer
    x = 1,944.79

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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.