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Finding the Fourth Proportional to 3,114.95, 4,672.44 and 1,267.16

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Solution

The fourth proportional to 3,114.95, 4,672.44 and 1,267.16 is: 1,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.95 : 4,672.44 = 1,267.16 : x
  2. Step 2: Convert to fraction form
    3,114.95/4,672.44 = 1,267.16/x
  3. Step 3: Cross multiply
    3,114.95x = 4,672.44 × 1,267.16
  4. Step 4: Simplify right side
    3,114.95x = 5,920,705.71
  5. Step 5: Solve for x
    x = 5,920,705.71/3,114.95
  6. Step 6: Final answer
    x = 1,900.74

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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.