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Finding the Fourth Proportional to 2,281.92, 3,419.22 and 1,355.28

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Solution

The fourth proportional to 2,281.92, 3,419.22 and 1,355.28 is: 2,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.92 : 3,419.22 = 1,355.28 : x
  2. Step 2: Convert to fraction form
    2,281.92/3,419.22 = 1,355.28/x
  3. Step 3: Cross multiply
    2,281.92x = 3,419.22 × 1,355.28
  4. Step 4: Simplify right side
    2,281.92x = 4,634,000.48
  5. Step 5: Solve for x
    x = 4,634,000.48/2,281.92
  6. Step 6: Final answer
    x = 2,030.75

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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.