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Finding the Fourth Proportional to 3,068.82, 4,603.94 and 1,121.04

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Solution

The fourth proportional to 3,068.82, 4,603.94 and 1,121.04 is: 1,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.82 : 4,603.94 = 1,121.04 : x
  2. Step 2: Convert to fraction form
    3,068.82/4,603.94 = 1,121.04/x
  3. Step 3: Cross multiply
    3,068.82x = 4,603.94 × 1,121.04
  4. Step 4: Simplify right side
    3,068.82x = 5,161,199.50
  5. Step 5: Solve for x
    x = 5,161,199.50/3,068.82
  6. Step 6: Final answer
    x = 1,681.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.