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Finding the Fourth Proportional to 2,168.84, 2,993 and 1,174.13

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Solution

The fourth proportional to 2,168.84, 2,993 and 1,174.13 is: 1,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.84 : 2,993 = 1,174.13 : x
  2. Step 2: Convert to fraction form
    2,168.84/2,993 = 1,174.13/x
  3. Step 3: Cross multiply
    2,168.84x = 2,993 × 1,174.13
  4. Step 4: Simplify right side
    2,168.84x = 3,514,156.13
  5. Step 5: Solve for x
    x = 3,514,156.13/2,168.84
  6. Step 6: Final answer
    x = 1,620.30

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1.5x scale

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.