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Finding the Fourth Proportional to 1,235.85, 1,856.65 and 1,169.49

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Solution

The fourth proportional to 1,235.85, 1,856.65 and 1,169.49 is: 1,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.85 : 1,856.65 = 1,169.49 : x
  2. Step 2: Convert to fraction form
    1,235.85/1,856.65 = 1,169.49/x
  3. Step 3: Cross multiply
    1,235.85x = 1,856.65 × 1,169.49
  4. Step 4: Simplify right side
    1,235.85x = 2,171,333.61
  5. Step 5: Solve for x
    x = 2,171,333.61/1,235.85
  6. Step 6: Final answer
    x = 1,756.96

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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.