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Finding the Fourth Proportional to 2,561.66, 3,844.33 and 1,737.89

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Solution

The fourth proportional to 2,561.66, 3,844.33 and 1,737.89 is: 2,608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.66 : 3,844.33 = 1,737.89 : x
  2. Step 2: Convert to fraction form
    2,561.66/3,844.33 = 1,737.89/x
  3. Step 3: Cross multiply
    2,561.66x = 3,844.33 × 1,737.89
  4. Step 4: Simplify right side
    2,561.66x = 6,681,013.51
  5. Step 5: Solve for x
    x = 6,681,013.51/2,561.66
  6. Step 6: Final answer
    x = 2,608.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.