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Finding the Fourth Proportional to 2,099.08, 2,890.16 and 1,783.72

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Solution

The fourth proportional to 2,099.08, 2,890.16 and 1,783.72 is: 2,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.08 : 2,890.16 = 1,783.72 : x
  2. Step 2: Convert to fraction form
    2,099.08/2,890.16 = 1,783.72/x
  3. Step 3: Cross multiply
    2,099.08x = 2,890.16 × 1,783.72
  4. Step 4: Simplify right side
    2,099.08x = 5,155,236.20
  5. Step 5: Solve for x
    x = 5,155,236.20/2,099.08
  6. Step 6: Final answer
    x = 2,455.95

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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.