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Finding the Fourth Proportional to 2,701.80, 3,728.47 and 1,523.25

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Solution

The fourth proportional to 2,701.80, 3,728.47 and 1,523.25 is: 2,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.80 : 3,728.47 = 1,523.25 : x
  2. Step 2: Convert to fraction form
    2,701.80/3,728.47 = 1,523.25/x
  3. Step 3: Cross multiply
    2,701.80x = 3,728.47 × 1,523.25
  4. Step 4: Simplify right side
    2,701.80x = 5,679,391.93
  5. Step 5: Solve for x
    x = 5,679,391.93/2,701.80
  6. Step 6: Final answer
    x = 2,102.08

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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.