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Finding the Fourth Proportional to 1,765.98, 2,433.70 and 1,267.76

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Solution

The fourth proportional to 1,765.98, 2,433.70 and 1,267.76 is: 1,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.98 : 2,433.70 = 1,267.76 : x
  2. Step 2: Convert to fraction form
    1,765.98/2,433.70 = 1,267.76/x
  3. Step 3: Cross multiply
    1,765.98x = 2,433.70 × 1,267.76
  4. Step 4: Simplify right side
    1,765.98x = 3,085,350.43
  5. Step 5: Solve for x
    x = 3,085,350.43/1,765.98
  6. Step 6: Final answer
    x = 1,747.10

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