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Finding the Fourth Proportional to 3,148.72, 4,346.02 and 1,823.20

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Solution

The fourth proportional to 3,148.72, 4,346.02 and 1,823.20 is: 2,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.72 : 4,346.02 = 1,823.20 : x
  2. Step 2: Convert to fraction form
    3,148.72/4,346.02 = 1,823.20/x
  3. Step 3: Cross multiply
    3,148.72x = 4,346.02 × 1,823.20
  4. Step 4: Simplify right side
    3,148.72x = 7,923,663.66
  5. Step 5: Solve for x
    x = 7,923,663.66/3,148.72
  6. Step 6: Final answer
    x = 2,516.47

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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.