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Finding the Fourth Proportional to 1,765.70, 2,433.73 and 1,240.82

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Solution

The fourth proportional to 1,765.70, 2,433.73 and 1,240.82 is: 1,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.70 : 2,433.73 = 1,240.82 : x
  2. Step 2: Convert to fraction form
    1,765.70/2,433.73 = 1,240.82/x
  3. Step 3: Cross multiply
    1,765.70x = 2,433.73 × 1,240.82
  4. Step 4: Simplify right side
    1,765.70x = 3,019,820.86
  5. Step 5: Solve for x
    x = 3,019,820.86/1,765.70
  6. Step 6: Final answer
    x = 1,710.27

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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.