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Finding the Fourth Proportional to 2,098.87, 2,896.33 and 1,154.51

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Solution

The fourth proportional to 2,098.87, 2,896.33 and 1,154.51 is: 1,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.87 : 2,896.33 = 1,154.51 : x
  2. Step 2: Convert to fraction form
    2,098.87/2,896.33 = 1,154.51/x
  3. Step 3: Cross multiply
    2,098.87x = 2,896.33 × 1,154.51
  4. Step 4: Simplify right side
    2,098.87x = 3,343,846.56
  5. Step 5: Solve for x
    x = 3,343,846.56/2,098.87
  6. Step 6: Final answer
    x = 1,593.16

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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.