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Finding the Fourth Proportional to 2,017.67, 3,026.85 and 630.74

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Solution

The fourth proportional to 2,017.67, 3,026.85 and 630.74 is: 946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.67 : 3,026.85 = 630.74 : x
  2. Step 2: Convert to fraction form
    2,017.67/3,026.85 = 630.74/x
  3. Step 3: Cross multiply
    2,017.67x = 3,026.85 × 630.74
  4. Step 4: Simplify right side
    2,017.67x = 1,909,147.09
  5. Step 5: Solve for x
    x = 1,909,147.09/2,017.67
  6. Step 6: Final answer
    x = 946.21

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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.