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Finding the Fourth Proportional to 2,881.98, 4,323.66 and 1,007.61

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Solution

The fourth proportional to 2,881.98, 4,323.66 and 1,007.61 is: 1,511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.98 : 4,323.66 = 1,007.61 : x
  2. Step 2: Convert to fraction form
    2,881.98/4,323.66 = 1,007.61/x
  3. Step 3: Cross multiply
    2,881.98x = 4,323.66 × 1,007.61
  4. Step 4: Simplify right side
    2,881.98x = 4,356,563.05
  5. Step 5: Solve for x
    x = 4,356,563.05/2,881.98
  6. Step 6: Final answer
    x = 1,511.66

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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.