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Finding the Fourth Proportional to 2,163, 2,987.37 and 1,463.16

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Solution

The fourth proportional to 2,163, 2,987.37 and 1,463.16 is: 2,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163 : 2,987.37 = 1,463.16 : x
  2. Step 2: Convert to fraction form
    2,163/2,987.37 = 1,463.16/x
  3. Step 3: Cross multiply
    2,163x = 2,987.37 × 1,463.16
  4. Step 4: Simplify right side
    2,163x = 4,371,000.29
  5. Step 5: Solve for x
    x = 4,371,000.29/2,163
  6. Step 6: Final answer
    x = 2,020.80

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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.