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Finding the Fourth Proportional to 2,466.75, 3,404.06 and 1,472.27

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Solution

The fourth proportional to 2,466.75, 3,404.06 and 1,472.27 is: 2,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.75 : 3,404.06 = 1,472.27 : x
  2. Step 2: Convert to fraction form
    2,466.75/3,404.06 = 1,472.27/x
  3. Step 3: Cross multiply
    2,466.75x = 3,404.06 × 1,472.27
  4. Step 4: Simplify right side
    2,466.75x = 5,011,688.05
  5. Step 5: Solve for x
    x = 5,011,688.05/2,466.75
  6. Step 6: Final answer
    x = 2,031.70

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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.