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Finding the Fourth Proportional to 1,762.98, 2,433.16 and 1,016.78

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Solution

The fourth proportional to 1,762.98, 2,433.16 and 1,016.78 is: 1,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.98 : 2,433.16 = 1,016.78 : x
  2. Step 2: Convert to fraction form
    1,762.98/2,433.16 = 1,016.78/x
  3. Step 3: Cross multiply
    1,762.98x = 2,433.16 × 1,016.78
  4. Step 4: Simplify right side
    1,762.98x = 2,473,983.34
  5. Step 5: Solve for x
    x = 2,473,983.34/1,762.98
  6. Step 6: Final answer
    x = 1,403.30

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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.