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Finding the Fourth Proportional to 3,098.80, 4,648.40 and 1,640.80

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Solution

The fourth proportional to 3,098.80, 4,648.40 and 1,640.80 is: 2,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.80 : 4,648.40 = 1,640.80 : x
  2. Step 2: Convert to fraction form
    3,098.80/4,648.40 = 1,640.80/x
  3. Step 3: Cross multiply
    3,098.80x = 4,648.40 × 1,640.80
  4. Step 4: Simplify right side
    3,098.80x = 7,627,094.72
  5. Step 5: Solve for x
    x = 7,627,094.72/3,098.80
  6. Step 6: Final answer
    x = 2,461.31

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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.