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Finding the Fourth Proportional to 2,389.84, 3,580.50 and 2,039.61

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Solution

The fourth proportional to 2,389.84, 3,580.50 and 2,039.61 is: 3,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.84 : 3,580.50 = 2,039.61 : x
  2. Step 2: Convert to fraction form
    2,389.84/3,580.50 = 2,039.61/x
  3. Step 3: Cross multiply
    2,389.84x = 3,580.50 × 2,039.61
  4. Step 4: Simplify right side
    2,389.84x = 7,302,823.61
  5. Step 5: Solve for x
    x = 7,302,823.61/2,389.84
  6. Step 6: Final answer
    x = 3,055.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.