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Finding the Fourth Proportional to 3,204.16, 4,807.04 and 1,356.16

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Solution

The fourth proportional to 3,204.16, 4,807.04 and 1,356.16 is: 2,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.16 : 4,807.04 = 1,356.16 : x
  2. Step 2: Convert to fraction form
    3,204.16/4,807.04 = 1,356.16/x
  3. Step 3: Cross multiply
    3,204.16x = 4,807.04 × 1,356.16
  4. Step 4: Simplify right side
    3,204.16x = 6,519,115.37
  5. Step 5: Solve for x
    x = 6,519,115.37/3,204.16
  6. Step 6: Final answer
    x = 2,034.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.