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Finding the Fourth Proportional to 1,603.17, 2,211.53 and 1,304.75

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Solution

The fourth proportional to 1,603.17, 2,211.53 and 1,304.75 is: 1,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.17 : 2,211.53 = 1,304.75 : x
  2. Step 2: Convert to fraction form
    1,603.17/2,211.53 = 1,304.75/x
  3. Step 3: Cross multiply
    1,603.17x = 2,211.53 × 1,304.75
  4. Step 4: Simplify right side
    1,603.17x = 2,885,493.77
  5. Step 5: Solve for x
    x = 2,885,493.77/1,603.17
  6. Step 6: Final answer
    x = 1,799.87

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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.