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Finding the Fourth Proportional to 3,134.97, 4,701.78 and 1,284.30

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Solution

The fourth proportional to 3,134.97, 4,701.78 and 1,284.30 is: 1,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.97 : 4,701.78 = 1,284.30 : x
  2. Step 2: Convert to fraction form
    3,134.97/4,701.78 = 1,284.30/x
  3. Step 3: Cross multiply
    3,134.97x = 4,701.78 × 1,284.30
  4. Step 4: Simplify right side
    3,134.97x = 6,038,496.05
  5. Step 5: Solve for x
    x = 6,038,496.05/3,134.97
  6. Step 6: Final answer
    x = 1,926.17

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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.