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Finding the Fourth Proportional to 2,757.76, 3,804.28 and 1,762

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Solution

The fourth proportional to 2,757.76, 3,804.28 and 1,762 is: 2,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.76 : 3,804.28 = 1,762 : x
  2. Step 2: Convert to fraction form
    2,757.76/3,804.28 = 1,762/x
  3. Step 3: Cross multiply
    2,757.76x = 3,804.28 × 1,762
  4. Step 4: Simplify right side
    2,757.76x = 6,703,141.36
  5. Step 5: Solve for x
    x = 6,703,141.36/2,757.76
  6. Step 6: Final answer
    x = 2,430.65

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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.