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Finding the Fourth Proportional to 4,432.25, 6,648.70 and 1,696.25

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Solution

The fourth proportional to 4,432.25, 6,648.70 and 1,696.25 is: 2,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.25 : 6,648.70 = 1,696.25 : x
  2. Step 2: Convert to fraction form
    4,432.25/6,648.70 = 1,696.25/x
  3. Step 3: Cross multiply
    4,432.25x = 6,648.70 × 1,696.25
  4. Step 4: Simplify right side
    4,432.25x = 11,277,848.89
  5. Step 5: Solve for x
    x = 11,277,848.89/4,432.25
  6. Step 6: Final answer
    x = 2,544.50

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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.