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Finding the Fourth Proportional to 2,228.76, 3,339.90 and 931.14

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Solution

The fourth proportional to 2,228.76, 3,339.90 and 931.14 is: 1,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.76 : 3,339.90 = 931.14 : x
  2. Step 2: Convert to fraction form
    2,228.76/3,339.90 = 931.14/x
  3. Step 3: Cross multiply
    2,228.76x = 3,339.90 × 931.14
  4. Step 4: Simplify right side
    2,228.76x = 3,109,914.49
  5. Step 5: Solve for x
    x = 3,109,914.49/2,228.76
  6. Step 6: Final answer
    x = 1,395.36

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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.