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Finding the Fourth Proportional to 1,762.45, 2,431.81 and 1,016.21

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Solution

The fourth proportional to 1,762.45, 2,431.81 and 1,016.21 is: 1,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.45 : 2,431.81 = 1,016.21 : x
  2. Step 2: Convert to fraction form
    1,762.45/2,431.81 = 1,016.21/x
  3. Step 3: Cross multiply
    1,762.45x = 2,431.81 × 1,016.21
  4. Step 4: Simplify right side
    1,762.45x = 2,471,233.18
  5. Step 5: Solve for x
    x = 2,471,233.18/1,762.45
  6. Step 6: Final answer
    x = 1,402.16

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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.