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Finding the Fourth Proportional to 2,752.49, 3,795.57 and 2,123.12

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Solution

The fourth proportional to 2,752.49, 3,795.57 and 2,123.12 is: 2,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.49 : 3,795.57 = 2,123.12 : x
  2. Step 2: Convert to fraction form
    2,752.49/3,795.57 = 2,123.12/x
  3. Step 3: Cross multiply
    2,752.49x = 3,795.57 × 2,123.12
  4. Step 4: Simplify right side
    2,752.49x = 8,058,431.60
  5. Step 5: Solve for x
    x = 8,058,431.60/2,752.49
  6. Step 6: Final answer
    x = 2,927.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.