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Finding the Fourth Proportional to 1,713.95, 2,580.26 and 1,169.55

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Solution

The fourth proportional to 1,713.95, 2,580.26 and 1,169.55 is: 1,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.95 : 2,580.26 = 1,169.55 : x
  2. Step 2: Convert to fraction form
    1,713.95/2,580.26 = 1,169.55/x
  3. Step 3: Cross multiply
    1,713.95x = 2,580.26 × 1,169.55
  4. Step 4: Simplify right side
    1,713.95x = 3,017,737.24
  5. Step 5: Solve for x
    x = 3,017,737.24/1,713.95
  6. Step 6: Final answer
    x = 1,760.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.