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Finding the Fourth Proportional to 2,066.16, 3,098.49 and 896.10

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Solution

The fourth proportional to 2,066.16, 3,098.49 and 896.10 is: 1,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.16 : 3,098.49 = 896.10 : x
  2. Step 2: Convert to fraction form
    2,066.16/3,098.49 = 896.10/x
  3. Step 3: Cross multiply
    2,066.16x = 3,098.49 × 896.10
  4. Step 4: Simplify right side
    2,066.16x = 2,776,556.89
  5. Step 5: Solve for x
    x = 2,776,556.89/2,066.16
  6. Step 6: Final answer
    x = 1,343.82

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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.