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Finding the Fourth Proportional to 3,801.48, 5,702.97 and 1,610.22

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Solution

The fourth proportional to 3,801.48, 5,702.97 and 1,610.22 is: 2,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.48 : 5,702.97 = 1,610.22 : x
  2. Step 2: Convert to fraction form
    3,801.48/5,702.97 = 1,610.22/x
  3. Step 3: Cross multiply
    3,801.48x = 5,702.97 × 1,610.22
  4. Step 4: Simplify right side
    3,801.48x = 9,183,036.35
  5. Step 5: Solve for x
    x = 9,183,036.35/3,801.48
  6. Step 6: Final answer
    x = 2,415.65

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1.5x scale

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.