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Finding the Fourth Proportional to 1,951.48, 2,927.22 and 1,546.89

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Solution

The fourth proportional to 1,951.48, 2,927.22 and 1,546.89 is: 2,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.48 : 2,927.22 = 1,546.89 : x
  2. Step 2: Convert to fraction form
    1,951.48/2,927.22 = 1,546.89/x
  3. Step 3: Cross multiply
    1,951.48x = 2,927.22 × 1,546.89
  4. Step 4: Simplify right side
    1,951.48x = 4,528,072.71
  5. Step 5: Solve for x
    x = 4,528,072.71/1,951.48
  6. Step 6: Final answer
    x = 2,320.33

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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.