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Finding the Fourth Proportional to 1,763.84, 2,433.89 and 1,017.79

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Solution

The fourth proportional to 1,763.84, 2,433.89 and 1,017.79 is: 1,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.84 : 2,433.89 = 1,017.79 : x
  2. Step 2: Convert to fraction form
    1,763.84/2,433.89 = 1,017.79/x
  3. Step 3: Cross multiply
    1,763.84x = 2,433.89 × 1,017.79
  4. Step 4: Simplify right side
    1,763.84x = 2,477,188.90
  5. Step 5: Solve for x
    x = 2,477,188.90/1,763.84
  6. Step 6: Final answer
    x = 1,404.43

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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.