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Finding the Fourth Proportional to 2,098.39, 3,146.53 and 637.36

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Solution

The fourth proportional to 2,098.39, 3,146.53 and 637.36 is: 955.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.39 : 3,146.53 = 637.36 : x
  2. Step 2: Convert to fraction form
    2,098.39/3,146.53 = 637.36/x
  3. Step 3: Cross multiply
    2,098.39x = 3,146.53 × 637.36
  4. Step 4: Simplify right side
    2,098.39x = 2,005,472.36
  5. Step 5: Solve for x
    x = 2,005,472.36/2,098.39
  6. Step 6: Final answer
    x = 955.72

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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.