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Finding the Fourth Proportional to 2,098.56, 3,146.88 and 637.44

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Solution

The fourth proportional to 2,098.56, 3,146.88 and 637.44 is: 955.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.56 : 3,146.88 = 637.44 : x
  2. Step 2: Convert to fraction form
    2,098.56/3,146.88 = 637.44/x
  3. Step 3: Cross multiply
    2,098.56x = 3,146.88 × 637.44
  4. Step 4: Simplify right side
    2,098.56x = 2,005,947.19
  5. Step 5: Solve for x
    x = 2,005,947.19/2,098.56
  6. Step 6: Final answer
    x = 955.87

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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.