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Finding the Fourth Proportional to 3,076.83, 4,616.02 and 885.51

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Solution

The fourth proportional to 3,076.83, 4,616.02 and 885.51 is: 1,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.83 : 4,616.02 = 885.51 : x
  2. Step 2: Convert to fraction form
    3,076.83/4,616.02 = 885.51/x
  3. Step 3: Cross multiply
    3,076.83x = 4,616.02 × 885.51
  4. Step 4: Simplify right side
    3,076.83x = 4,087,531.87
  5. Step 5: Solve for x
    x = 4,087,531.87/3,076.83
  6. Step 6: Final answer
    x = 1,328.49

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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.