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Finding the Fourth Proportional to 1,267.18, 1,750.39 and 1,019.43

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Solution

The fourth proportional to 1,267.18, 1,750.39 and 1,019.43 is: 1,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.18 : 1,750.39 = 1,019.43 : x
  2. Step 2: Convert to fraction form
    1,267.18/1,750.39 = 1,019.43/x
  3. Step 3: Cross multiply
    1,267.18x = 1,750.39 × 1,019.43
  4. Step 4: Simplify right side
    1,267.18x = 1,784,400.08
  5. Step 5: Solve for x
    x = 1,784,400.08/1,267.18
  6. Step 6: Final answer
    x = 1,408.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.