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Finding the Fourth Proportional to 2,099.81, 2,897.81 and 1,155.56

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Solution

The fourth proportional to 2,099.81, 2,897.81 and 1,155.56 is: 1,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.81 : 2,897.81 = 1,155.56 : x
  2. Step 2: Convert to fraction form
    2,099.81/2,897.81 = 1,155.56/x
  3. Step 3: Cross multiply
    2,099.81x = 2,897.81 × 1,155.56
  4. Step 4: Simplify right side
    2,099.81x = 3,348,577.39
  5. Step 5: Solve for x
    x = 3,348,577.39/2,099.81
  6. Step 6: Final answer
    x = 1,594.70

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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.