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Finding the Fourth Proportional to 2,169.67, 2,994.13 and 1,174.93

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Solution

The fourth proportional to 2,169.67, 2,994.13 and 1,174.93 is: 1,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.67 : 2,994.13 = 1,174.93 : x
  2. Step 2: Convert to fraction form
    2,169.67/2,994.13 = 1,174.93/x
  3. Step 3: Cross multiply
    2,169.67x = 2,994.13 × 1,174.93
  4. Step 4: Simplify right side
    2,169.67x = 3,517,893.16
  5. Step 5: Solve for x
    x = 3,517,893.16/2,169.67
  6. Step 6: Final answer
    x = 1,621.40

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Why These Related Problems?

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