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Finding the Fourth Proportional to 3,141.51, 4,711.17 and 1,266.84

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Solution

The fourth proportional to 3,141.51, 4,711.17 and 1,266.84 is: 1,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.51 : 4,711.17 = 1,266.84 : x
  2. Step 2: Convert to fraction form
    3,141.51/4,711.17 = 1,266.84/x
  3. Step 3: Cross multiply
    3,141.51x = 4,711.17 × 1,266.84
  4. Step 4: Simplify right side
    3,141.51x = 5,968,298.60
  5. Step 5: Solve for x
    x = 5,968,298.60/3,141.51
  6. Step 6: Final answer
    x = 1,899.82

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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.