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Finding the Fourth Proportional to 2,803.80, 4,207.05 and 2,145.45

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Solution

The fourth proportional to 2,803.80, 4,207.05 and 2,145.45 is: 3,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.80 : 4,207.05 = 2,145.45 : x
  2. Step 2: Convert to fraction form
    2,803.80/4,207.05 = 2,145.45/x
  3. Step 3: Cross multiply
    2,803.80x = 4,207.05 × 2,145.45
  4. Step 4: Simplify right side
    2,803.80x = 9,026,015.42
  5. Step 5: Solve for x
    x = 9,026,015.42/2,803.80
  6. Step 6: Final answer
    x = 3,219.21

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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.