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Finding the Fourth Proportional to 1,293.03, 1,937.23 and 1,017.78

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Solution

The fourth proportional to 1,293.03, 1,937.23 and 1,017.78 is: 1,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.03 : 1,937.23 = 1,017.78 : x
  2. Step 2: Convert to fraction form
    1,293.03/1,937.23 = 1,017.78/x
  3. Step 3: Cross multiply
    1,293.03x = 1,937.23 × 1,017.78
  4. Step 4: Simplify right side
    1,293.03x = 1,971,673.95
  5. Step 5: Solve for x
    x = 1,971,673.95/1,293.03
  6. Step 6: Final answer
    x = 1,524.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.