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Finding the Fourth Proportional to 2,391.84, 3,583.50 and 2,041.61

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Solution

The fourth proportional to 2,391.84, 3,583.50 and 2,041.61 is: 3,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.84 : 3,583.50 = 2,041.61 : x
  2. Step 2: Convert to fraction form
    2,391.84/3,583.50 = 2,041.61/x
  3. Step 3: Cross multiply
    2,391.84x = 3,583.50 × 2,041.61
  4. Step 4: Simplify right side
    2,391.84x = 7,316,109.44
  5. Step 5: Solve for x
    x = 7,316,109.44/2,391.84
  6. Step 6: Final answer
    x = 3,058.78

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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.