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Finding the Fourth Proportional to 2,098.23, 2,895.49 and 1,154.02

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Solution

The fourth proportional to 2,098.23, 2,895.49 and 1,154.02 is: 1,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.23 : 2,895.49 = 1,154.02 : x
  2. Step 2: Convert to fraction form
    2,098.23/2,895.49 = 1,154.02/x
  3. Step 3: Cross multiply
    2,098.23x = 2,895.49 × 1,154.02
  4. Step 4: Simplify right side
    2,098.23x = 3,341,453.37
  5. Step 5: Solve for x
    x = 3,341,453.37/2,098.23
  6. Step 6: Final answer
    x = 1,592.51

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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.