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Finding the Fourth Proportional to 3,068.88, 4,604.04 and 1,122

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Solution

The fourth proportional to 3,068.88, 4,604.04 and 1,122 is: 1,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.88 : 4,604.04 = 1,122 : x
  2. Step 2: Convert to fraction form
    3,068.88/4,604.04 = 1,122/x
  3. Step 3: Cross multiply
    3,068.88x = 4,604.04 × 1,122
  4. Step 4: Simplify right side
    3,068.88x = 5,165,732.88
  5. Step 5: Solve for x
    x = 5,165,732.88/3,068.88
  6. Step 6: Final answer
    x = 1,683.26

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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.