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Finding the Fourth Proportional to 2,003.62, 2,990.98 and 1,913.76

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Solution

The fourth proportional to 2,003.62, 2,990.98 and 1,913.76 is: 2,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.62 : 2,990.98 = 1,913.76 : x
  2. Step 2: Convert to fraction form
    2,003.62/2,990.98 = 1,913.76/x
  3. Step 3: Cross multiply
    2,003.62x = 2,990.98 × 1,913.76
  4. Step 4: Simplify right side
    2,003.62x = 5,724,017.88
  5. Step 5: Solve for x
    x = 5,724,017.88/2,003.62
  6. Step 6: Final answer
    x = 2,856.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.