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Finding the Fourth Proportional to 2,098.63, 2,896.05 and 1,154.42

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Solution

The fourth proportional to 2,098.63, 2,896.05 and 1,154.42 is: 1,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.63 : 2,896.05 = 1,154.42 : x
  2. Step 2: Convert to fraction form
    2,098.63/2,896.05 = 1,154.42/x
  3. Step 3: Cross multiply
    2,098.63x = 2,896.05 × 1,154.42
  4. Step 4: Simplify right side
    2,098.63x = 3,343,258.04
  5. Step 5: Solve for x
    x = 3,343,258.04/2,098.63
  6. Step 6: Final answer
    x = 1,593.07

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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.