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Finding the Fourth Proportional to 2,603.17, 3,905.34 and 871.75

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Solution

The fourth proportional to 2,603.17, 3,905.34 and 871.75 is: 1,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.17 : 3,905.34 = 871.75 : x
  2. Step 2: Convert to fraction form
    2,603.17/3,905.34 = 871.75/x
  3. Step 3: Cross multiply
    2,603.17x = 3,905.34 × 871.75
  4. Step 4: Simplify right side
    2,603.17x = 3,404,480.15
  5. Step 5: Solve for x
    x = 3,404,480.15/2,603.17
  6. Step 6: Final answer
    x = 1,307.82

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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.