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Finding the Fourth Proportional to 2,046.17, 2,822.19 and 1,603.19

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Solution

The fourth proportional to 2,046.17, 2,822.19 and 1,603.19 is: 2,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.17 : 2,822.19 = 1,603.19 : x
  2. Step 2: Convert to fraction form
    2,046.17/2,822.19 = 1,603.19/x
  3. Step 3: Cross multiply
    2,046.17x = 2,822.19 × 1,603.19
  4. Step 4: Simplify right side
    2,046.17x = 4,524,506.79
  5. Step 5: Solve for x
    x = 4,524,506.79/2,046.17
  6. Step 6: Final answer
    x = 2,211.21

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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.