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Finding the Fourth Proportional to 2,389.75, 3,580.38 and 2,039.52

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Solution

The fourth proportional to 2,389.75, 3,580.38 and 2,039.52 is: 3,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.75 : 3,580.38 = 2,039.52 : x
  2. Step 2: Convert to fraction form
    2,389.75/3,580.38 = 2,039.52/x
  3. Step 3: Cross multiply
    2,389.75x = 3,580.38 × 2,039.52
  4. Step 4: Simplify right side
    2,389.75x = 7,302,256.62
  5. Step 5: Solve for x
    x = 7,302,256.62/2,389.75
  6. Step 6: Final answer
    x = 3,055.66

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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.