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Finding the Fourth Proportional to 3,201.64, 4,803.87 and 1,253.18

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Solution

The fourth proportional to 3,201.64, 4,803.87 and 1,253.18 is: 1,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.64 : 4,803.87 = 1,253.18 : x
  2. Step 2: Convert to fraction form
    3,201.64/4,803.87 = 1,253.18/x
  3. Step 3: Cross multiply
    3,201.64x = 4,803.87 × 1,253.18
  4. Step 4: Simplify right side
    3,201.64x = 6,020,113.81
  5. Step 5: Solve for x
    x = 6,020,113.81/3,201.64
  6. Step 6: Final answer
    x = 1,880.32

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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.