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Finding the Fourth Proportional to 2,003, 2,765.22 and 1,340.78

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Solution

The fourth proportional to 2,003, 2,765.22 and 1,340.78 is: 1,851.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003 : 2,765.22 = 1,340.78 : x
  2. Step 2: Convert to fraction form
    2,003/2,765.22 = 1,340.78/x
  3. Step 3: Cross multiply
    2,003x = 2,765.22 × 1,340.78
  4. Step 4: Simplify right side
    2,003x = 3,707,551.67
  5. Step 5: Solve for x
    x = 3,707,551.67/2,003
  6. Step 6: Final answer
    x = 1,851.00

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Why These Related Problems?

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