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Finding the Fourth Proportional to 3,202.61, 4,803.90 and 1,253.45

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Solution

The fourth proportional to 3,202.61, 4,803.90 and 1,253.45 is: 1,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.61 : 4,803.90 = 1,253.45 : x
  2. Step 2: Convert to fraction form
    3,202.61/4,803.90 = 1,253.45/x
  3. Step 3: Cross multiply
    3,202.61x = 4,803.90 × 1,253.45
  4. Step 4: Simplify right side
    3,202.61x = 6,021,424.44
  5. Step 5: Solve for x
    x = 6,021,424.44/3,202.61
  6. Step 6: Final answer
    x = 1,880.16

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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.