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Finding the Fourth Proportional to 1,349.03, 2,014.52 and 1,166.87

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Solution

The fourth proportional to 1,349.03, 2,014.52 and 1,166.87 is: 1,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.03 : 2,014.52 = 1,166.87 : x
  2. Step 2: Convert to fraction form
    1,349.03/2,014.52 = 1,166.87/x
  3. Step 3: Cross multiply
    1,349.03x = 2,014.52 × 1,166.87
  4. Step 4: Simplify right side
    1,349.03x = 2,350,667.05
  5. Step 5: Solve for x
    x = 2,350,667.05/1,349.03
  6. Step 6: Final answer
    x = 1,742.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.