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Finding the Fourth Proportional to 2,293.75, 3,166.10 and 1,465.75

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Solution

The fourth proportional to 2,293.75, 3,166.10 and 1,465.75 is: 2,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.75 : 3,166.10 = 1,465.75 : x
  2. Step 2: Convert to fraction form
    2,293.75/3,166.10 = 1,465.75/x
  3. Step 3: Cross multiply
    2,293.75x = 3,166.10 × 1,465.75
  4. Step 4: Simplify right side
    2,293.75x = 4,640,711.08
  5. Step 5: Solve for x
    x = 4,640,711.08/2,293.75
  6. Step 6: Final answer
    x = 2,023.20

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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.