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Finding the Fourth Proportional to 2,099.86, 2,897.99 and 1,155.84

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Solution

The fourth proportional to 2,099.86, 2,897.99 and 1,155.84 is: 1,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.86 : 2,897.99 = 1,155.84 : x
  2. Step 2: Convert to fraction form
    2,099.86/2,897.99 = 1,155.84/x
  3. Step 3: Cross multiply
    2,099.86x = 2,897.99 × 1,155.84
  4. Step 4: Simplify right side
    2,099.86x = 3,349,611.32
  5. Step 5: Solve for x
    x = 3,349,611.32/2,099.86
  6. Step 6: Final answer
    x = 1,595.16

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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.