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Finding the Fourth Proportional to 3,214.84, 4,820.46 and 1,266.52

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Solution

The fourth proportional to 3,214.84, 4,820.46 and 1,266.52 is: 1,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.84 : 4,820.46 = 1,266.52 : x
  2. Step 2: Convert to fraction form
    3,214.84/4,820.46 = 1,266.52/x
  3. Step 3: Cross multiply
    3,214.84x = 4,820.46 × 1,266.52
  4. Step 4: Simplify right side
    3,214.84x = 6,105,209.00
  5. Step 5: Solve for x
    x = 6,105,209.00/3,214.84
  6. Step 6: Final answer
    x = 1,899.07

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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.