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Finding the Fourth Proportional to 1,763.13, 2,433.29 and 1,017.21

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Solution

The fourth proportional to 1,763.13, 2,433.29 and 1,017.21 is: 1,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.13 : 2,433.29 = 1,017.21 : x
  2. Step 2: Convert to fraction form
    1,763.13/2,433.29 = 1,017.21/x
  3. Step 3: Cross multiply
    1,763.13x = 2,433.29 × 1,017.21
  4. Step 4: Simplify right side
    1,763.13x = 2,475,161.83
  5. Step 5: Solve for x
    x = 2,475,161.83/1,763.13
  6. Step 6: Final answer
    x = 1,403.85

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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.