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Finding the Fourth Proportional to 2,293.59, 3,165.22 and 1,409.07

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Solution

The fourth proportional to 2,293.59, 3,165.22 and 1,409.07 is: 1,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.59 : 3,165.22 = 1,409.07 : x
  2. Step 2: Convert to fraction form
    2,293.59/3,165.22 = 1,409.07/x
  3. Step 3: Cross multiply
    2,293.59x = 3,165.22 × 1,409.07
  4. Step 4: Simplify right side
    2,293.59x = 4,460,016.55
  5. Step 5: Solve for x
    x = 4,460,016.55/2,293.59
  6. Step 6: Final answer
    x = 1,944.56

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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.