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Finding the Fourth Proportional to 2,293.74, 3,165.57 and 1,409.58

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Solution

The fourth proportional to 2,293.74, 3,165.57 and 1,409.58 is: 1,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.74 : 3,165.57 = 1,409.58 : x
  2. Step 2: Convert to fraction form
    2,293.74/3,165.57 = 1,409.58/x
  3. Step 3: Cross multiply
    2,293.74x = 3,165.57 × 1,409.58
  4. Step 4: Simplify right side
    2,293.74x = 4,462,124.16
  5. Step 5: Solve for x
    x = 4,462,124.16/2,293.74
  6. Step 6: Final answer
    x = 1,945.35

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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.