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Finding the Fourth Proportional to 2,103.95, 3,158.25 and 1,778.92

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Solution

The fourth proportional to 2,103.95, 3,158.25 and 1,778.92 is: 2,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.95 : 3,158.25 = 1,778.92 : x
  2. Step 2: Convert to fraction form
    2,103.95/3,158.25 = 1,778.92/x
  3. Step 3: Cross multiply
    2,103.95x = 3,158.25 × 1,778.92
  4. Step 4: Simplify right side
    2,103.95x = 5,618,274.09
  5. Step 5: Solve for x
    x = 5,618,274.09/2,103.95
  6. Step 6: Final answer
    x = 2,670.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.