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Finding the Fourth Proportional to 2,803.76, 4,200.38 and 2,011.42

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Solution

The fourth proportional to 2,803.76, 4,200.38 and 2,011.42 is: 3,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.76 : 4,200.38 = 2,011.42 : x
  2. Step 2: Convert to fraction form
    2,803.76/4,200.38 = 2,011.42/x
  3. Step 3: Cross multiply
    2,803.76x = 4,200.38 × 2,011.42
  4. Step 4: Simplify right side
    2,803.76x = 8,448,728.34
  5. Step 5: Solve for x
    x = 8,448,728.34/2,803.76
  6. Step 6: Final answer
    x = 3,013.36

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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.