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Finding the Fourth Proportional to 1,762.63, 2,431.88 and 1,016.49

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Solution

The fourth proportional to 1,762.63, 2,431.88 and 1,016.49 is: 1,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.63 : 2,431.88 = 1,016.49 : x
  2. Step 2: Convert to fraction form
    1,762.63/2,431.88 = 1,016.49/x
  3. Step 3: Cross multiply
    1,762.63x = 2,431.88 × 1,016.49
  4. Step 4: Simplify right side
    1,762.63x = 2,471,981.70
  5. Step 5: Solve for x
    x = 2,471,981.70/1,762.63
  6. Step 6: Final answer
    x = 1,402.44

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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.