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Finding the Fourth Proportional to 2,693.51, 4,040.28 and 844.91

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Solution

The fourth proportional to 2,693.51, 4,040.28 and 844.91 is: 1,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.51 : 4,040.28 = 844.91 : x
  2. Step 2: Convert to fraction form
    2,693.51/4,040.28 = 844.91/x
  3. Step 3: Cross multiply
    2,693.51x = 4,040.28 × 844.91
  4. Step 4: Simplify right side
    2,693.51x = 3,413,652.77
  5. Step 5: Solve for x
    x = 3,413,652.77/2,693.51
  6. Step 6: Final answer
    x = 1,267.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.