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Finding the Fourth Proportional to 2,228.59, 3,341.07 and 931.03

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Solution

The fourth proportional to 2,228.59, 3,341.07 and 931.03 is: 1,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.59 : 3,341.07 = 931.03 : x
  2. Step 2: Convert to fraction form
    2,228.59/3,341.07 = 931.03/x
  3. Step 3: Cross multiply
    2,228.59x = 3,341.07 × 931.03
  4. Step 4: Simplify right side
    2,228.59x = 3,110,636.40
  5. Step 5: Solve for x
    x = 3,110,636.40/2,228.59
  6. Step 6: Final answer
    x = 1,395.79

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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.