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Finding the Fourth Proportional to 3,204.48, 4,803.20 and 1,256.32

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Solution

The fourth proportional to 3,204.48, 4,803.20 and 1,256.32 is: 1,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.48 : 4,803.20 = 1,256.32 : x
  2. Step 2: Convert to fraction form
    3,204.48/4,803.20 = 1,256.32/x
  3. Step 3: Cross multiply
    3,204.48x = 4,803.20 × 1,256.32
  4. Step 4: Simplify right side
    3,204.48x = 6,034,356.22
  5. Step 5: Solve for x
    x = 6,034,356.22/3,204.48
  6. Step 6: Final answer
    x = 1,883.10

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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.