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Finding the Fourth Proportional to 3,114.17, 4,671.14 and 1,264.73

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Solution

The fourth proportional to 3,114.17, 4,671.14 and 1,264.73 is: 1,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.17 : 4,671.14 = 1,264.73 : x
  2. Step 2: Convert to fraction form
    3,114.17/4,671.14 = 1,264.73/x
  3. Step 3: Cross multiply
    3,114.17x = 4,671.14 × 1,264.73
  4. Step 4: Simplify right side
    3,114.17x = 5,907,730.89
  5. Step 5: Solve for x
    x = 5,907,730.89/3,114.17
  6. Step 6: Final answer
    x = 1,897.05

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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.