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Finding the Fourth Proportional to 1,463, 2,186.43 and 1,173.08

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Solution

The fourth proportional to 1,463, 2,186.43 and 1,173.08 is: 1,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463 : 2,186.43 = 1,173.08 : x
  2. Step 2: Convert to fraction form
    1,463/2,186.43 = 1,173.08/x
  3. Step 3: Cross multiply
    1,463x = 2,186.43 × 1,173.08
  4. Step 4: Simplify right side
    1,463x = 2,564,857.30
  5. Step 5: Solve for x
    x = 2,564,857.30/1,463
  6. Step 6: Final answer
    x = 1,753.15

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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.