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Finding the Fourth Proportional to 2,304.55, 3,182.22 and 1,466.74

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Solution

The fourth proportional to 2,304.55, 3,182.22 and 1,466.74 is: 2,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.55 : 3,182.22 = 1,466.74 : x
  2. Step 2: Convert to fraction form
    2,304.55/3,182.22 = 1,466.74/x
  3. Step 3: Cross multiply
    2,304.55x = 3,182.22 × 1,466.74
  4. Step 4: Simplify right side
    2,304.55x = 4,667,489.36
  5. Step 5: Solve for x
    x = 4,667,489.36/2,304.55
  6. Step 6: Final answer
    x = 2,025.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.