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Finding the Fourth Proportional to 3,114.95, 4,671.21 and 1,426.10

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Solution

The fourth proportional to 3,114.95, 4,671.21 and 1,426.10 is: 2,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.95 : 4,671.21 = 1,426.10 : x
  2. Step 2: Convert to fraction form
    3,114.95/4,671.21 = 1,426.10/x
  3. Step 3: Cross multiply
    3,114.95x = 4,671.21 × 1,426.10
  4. Step 4: Simplify right side
    3,114.95x = 6,661,612.58
  5. Step 5: Solve for x
    x = 6,661,612.58/3,114.95
  6. Step 6: Final answer
    x = 2,138.59

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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.