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Finding the Fourth Proportional to 2,663.16, 3,992.46 and 1,018.55

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Solution

The fourth proportional to 2,663.16, 3,992.46 and 1,018.55 is: 1,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.16 : 3,992.46 = 1,018.55 : x
  2. Step 2: Convert to fraction form
    2,663.16/3,992.46 = 1,018.55/x
  3. Step 3: Cross multiply
    2,663.16x = 3,992.46 × 1,018.55
  4. Step 4: Simplify right side
    2,663.16x = 4,066,526.29
  5. Step 5: Solve for x
    x = 4,066,526.29/2,663.16
  6. Step 6: Final answer
    x = 1,526.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.