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Finding the Fourth Proportional to 3,114.58, 4,673.49 and 1,267.06

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Solution

The fourth proportional to 3,114.58, 4,673.49 and 1,267.06 is: 1,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.58 : 4,673.49 = 1,267.06 : x
  2. Step 2: Convert to fraction form
    3,114.58/4,673.49 = 1,267.06/x
  3. Step 3: Cross multiply
    3,114.58x = 4,673.49 × 1,267.06
  4. Step 4: Simplify right side
    3,114.58x = 5,921,592.24
  5. Step 5: Solve for x
    x = 5,921,592.24/3,114.58
  6. Step 6: Final answer
    x = 1,901.25

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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.