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Finding the Fourth Proportional to 2,561.06, 3,838.97 and 1,000.07

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Solution

The fourth proportional to 2,561.06, 3,838.97 and 1,000.07 is: 1,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.06 : 3,838.97 = 1,000.07 : x
  2. Step 2: Convert to fraction form
    2,561.06/3,838.97 = 1,000.07/x
  3. Step 3: Cross multiply
    2,561.06x = 3,838.97 × 1,000.07
  4. Step 4: Simplify right side
    2,561.06x = 3,839,214.53
  5. Step 5: Solve for x
    x = 3,839,214.53/2,561.06
  6. Step 6: Final answer
    x = 1,499.08

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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.