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Finding the Fourth Proportional to 1,603.78, 2,213.31 and 895.69

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Solution

The fourth proportional to 1,603.78, 2,213.31 and 895.69 is: 1,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.78 : 2,213.31 = 895.69 : x
  2. Step 2: Convert to fraction form
    1,603.78/2,213.31 = 895.69/x
  3. Step 3: Cross multiply
    1,603.78x = 2,213.31 × 895.69
  4. Step 4: Simplify right side
    1,603.78x = 1,982,440.72
  5. Step 5: Solve for x
    x = 1,982,440.72/1,603.78
  6. Step 6: Final answer
    x = 1,236.10

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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.