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Finding the Fourth Proportional to 3,113.58, 4,671.99 and 1,266.06

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Solution

The fourth proportional to 3,113.58, 4,671.99 and 1,266.06 is: 1,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.58 : 4,671.99 = 1,266.06 : x
  2. Step 2: Convert to fraction form
    3,113.58/4,671.99 = 1,266.06/x
  3. Step 3: Cross multiply
    3,113.58x = 4,671.99 × 1,266.06
  4. Step 4: Simplify right side
    3,113.58x = 5,915,019.66
  5. Step 5: Solve for x
    x = 5,915,019.66/3,113.58
  6. Step 6: Final answer
    x = 1,899.75

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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.