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Finding the Fourth Proportional to 1,395.76, 1,926.06 and 806.26

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Solution

The fourth proportional to 1,395.76, 1,926.06 and 806.26 is: 1,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.76 : 1,926.06 = 806.26 : x
  2. Step 2: Convert to fraction form
    1,395.76/1,926.06 = 806.26/x
  3. Step 3: Cross multiply
    1,395.76x = 1,926.06 × 806.26
  4. Step 4: Simplify right side
    1,395.76x = 1,552,905.14
  5. Step 5: Solve for x
    x = 1,552,905.14/1,395.76
  6. Step 6: Final answer
    x = 1,112.59

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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.