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Finding the Fourth Proportional to 2,693.66, 4,040.64 and 845.01

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Solution

The fourth proportional to 2,693.66, 4,040.64 and 845.01 is: 1,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.66 : 4,040.64 = 845.01 : x
  2. Step 2: Convert to fraction form
    2,693.66/4,040.64 = 845.01/x
  3. Step 3: Cross multiply
    2,693.66x = 4,040.64 × 845.01
  4. Step 4: Simplify right side
    2,693.66x = 3,414,381.21
  5. Step 5: Solve for x
    x = 3,414,381.21/2,693.66
  6. Step 6: Final answer
    x = 1,267.56

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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.