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Finding the Fourth Proportional to 2,368.47, 3,553.11 and 1,328.04

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Solution

The fourth proportional to 2,368.47, 3,553.11 and 1,328.04 is: 1,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.47 : 3,553.11 = 1,328.04 : x
  2. Step 2: Convert to fraction form
    2,368.47/3,553.11 = 1,328.04/x
  3. Step 3: Cross multiply
    2,368.47x = 3,553.11 × 1,328.04
  4. Step 4: Simplify right side
    2,368.47x = 4,718,672.20
  5. Step 5: Solve for x
    x = 4,718,672.20/2,368.47
  6. Step 6: Final answer
    x = 1,992.29

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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.