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Finding the Fourth Proportional to 1,901.79, 2,847.15 and 1,169.10

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Solution

The fourth proportional to 1,901.79, 2,847.15 and 1,169.10 is: 1,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.79 : 2,847.15 = 1,169.10 : x
  2. Step 2: Convert to fraction form
    1,901.79/2,847.15 = 1,169.10/x
  3. Step 3: Cross multiply
    1,901.79x = 2,847.15 × 1,169.10
  4. Step 4: Simplify right side
    1,901.79x = 3,328,603.07
  5. Step 5: Solve for x
    x = 3,328,603.07/1,901.79
  6. Step 6: Final answer
    x = 1,750.25

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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.