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Finding the Fourth Proportional to 2,561.46, 3,842.16 and 1,737.69

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Solution

The fourth proportional to 2,561.46, 3,842.16 and 1,737.69 is: 2,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.46 : 3,842.16 = 1,737.69 : x
  2. Step 2: Convert to fraction form
    2,561.46/3,842.16 = 1,737.69/x
  3. Step 3: Cross multiply
    2,561.46x = 3,842.16 × 1,737.69
  4. Step 4: Simplify right side
    2,561.46x = 6,676,483.01
  5. Step 5: Solve for x
    x = 6,676,483.01/2,561.46
  6. Step 6: Final answer
    x = 2,606.51

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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.