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Finding the Fourth Proportional to 2,561.57, 3,842.44 and 1,001.93

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Solution

The fourth proportional to 2,561.57, 3,842.44 and 1,001.93 is: 1,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.57 : 3,842.44 = 1,001.93 : x
  2. Step 2: Convert to fraction form
    2,561.57/3,842.44 = 1,001.93/x
  3. Step 3: Cross multiply
    2,561.57x = 3,842.44 × 1,001.93
  4. Step 4: Simplify right side
    2,561.57x = 3,849,863.01
  5. Step 5: Solve for x
    x = 3,849,863.01/2,561.57
  6. Step 6: Final answer
    x = 1,502.93

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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.