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Finding the Fourth Proportional to 4,102.95, 6,151.49 and 1,910.48

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Solution

The fourth proportional to 4,102.95, 6,151.49 and 1,910.48 is: 2,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.95 : 6,151.49 = 1,910.48 : x
  2. Step 2: Convert to fraction form
    4,102.95/6,151.49 = 1,910.48/x
  3. Step 3: Cross multiply
    4,102.95x = 6,151.49 × 1,910.48
  4. Step 4: Simplify right side
    4,102.95x = 11,752,289.06
  5. Step 5: Solve for x
    x = 11,752,289.06/4,102.95
  6. Step 6: Final answer
    x = 2,864.35

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