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Finding the Fourth Proportional to 1,763.89, 2,434.14 and 1,017.85

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Solution

The fourth proportional to 1,763.89, 2,434.14 and 1,017.85 is: 1,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.89 : 2,434.14 = 1,017.85 : x
  2. Step 2: Convert to fraction form
    1,763.89/2,434.14 = 1,017.85/x
  3. Step 3: Cross multiply
    1,763.89x = 2,434.14 × 1,017.85
  4. Step 4: Simplify right side
    1,763.89x = 2,477,589.40
  5. Step 5: Solve for x
    x = 2,477,589.40/1,763.89
  6. Step 6: Final answer
    x = 1,404.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.