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Finding the Fourth Proportional to 2,264.41, 3,123.73 and 1,509.49

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Solution

The fourth proportional to 2,264.41, 3,123.73 and 1,509.49 is: 2,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.41 : 3,123.73 = 1,509.49 : x
  2. Step 2: Convert to fraction form
    2,264.41/3,123.73 = 1,509.49/x
  3. Step 3: Cross multiply
    2,264.41x = 3,123.73 × 1,509.49
  4. Step 4: Simplify right side
    2,264.41x = 4,715,239.20
  5. Step 5: Solve for x
    x = 4,715,239.20/2,264.41
  6. Step 6: Final answer
    x = 2,082.33

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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.