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Finding the Fourth Proportional to 1,824.78, 2,518.11 and 1,126.02

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Solution

The fourth proportional to 1,824.78, 2,518.11 and 1,126.02 is: 1,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.78 : 2,518.11 = 1,126.02 : x
  2. Step 2: Convert to fraction form
    1,824.78/2,518.11 = 1,126.02/x
  3. Step 3: Cross multiply
    1,824.78x = 2,518.11 × 1,126.02
  4. Step 4: Simplify right side
    1,824.78x = 2,835,442.22
  5. Step 5: Solve for x
    x = 2,835,442.22/1,824.78
  6. Step 6: Final answer
    x = 1,553.85

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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.