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Finding the Fourth Proportional to 2,262.84, 3,406.17 and 1,928.76

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Solution

The fourth proportional to 2,262.84, 3,406.17 and 1,928.76 is: 2,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.84 : 3,406.17 = 1,928.76 : x
  2. Step 2: Convert to fraction form
    2,262.84/3,406.17 = 1,928.76/x
  3. Step 3: Cross multiply
    2,262.84x = 3,406.17 × 1,928.76
  4. Step 4: Simplify right side
    2,262.84x = 6,569,684.45
  5. Step 5: Solve for x
    x = 6,569,684.45/2,262.84
  6. Step 6: Final answer
    x = 2,903.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.