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Finding the Fourth Proportional to 4,948.31, 7,423.54 and 1,661.31

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Solution

The fourth proportional to 4,948.31, 7,423.54 and 1,661.31 is: 2,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.31 : 7,423.54 = 1,661.31 : x
  2. Step 2: Convert to fraction form
    4,948.31/7,423.54 = 1,661.31/x
  3. Step 3: Cross multiply
    4,948.31x = 7,423.54 × 1,661.31
  4. Step 4: Simplify right side
    4,948.31x = 12,332,822.64
  5. Step 5: Solve for x
    x = 12,332,822.64/4,948.31
  6. Step 6: Final answer
    x = 2,492.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.