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Finding the Fourth Proportional to 3,010.77, 4,155.28 and 1,684.56

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Solution

The fourth proportional to 3,010.77, 4,155.28 and 1,684.56 is: 2,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.77 : 4,155.28 = 1,684.56 : x
  2. Step 2: Convert to fraction form
    3,010.77/4,155.28 = 1,684.56/x
  3. Step 3: Cross multiply
    3,010.77x = 4,155.28 × 1,684.56
  4. Step 4: Simplify right side
    3,010.77x = 6,999,836.16
  5. Step 5: Solve for x
    x = 6,999,836.16/3,010.77
  6. Step 6: Final answer
    x = 2,324.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.