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Finding the Fourth Proportional to 3,057.64, 4,219.56 and 1,798.74

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Solution

The fourth proportional to 3,057.64, 4,219.56 and 1,798.74 is: 2,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.64 : 4,219.56 = 1,798.74 : x
  2. Step 2: Convert to fraction form
    3,057.64/4,219.56 = 1,798.74/x
  3. Step 3: Cross multiply
    3,057.64x = 4,219.56 × 1,798.74
  4. Step 4: Simplify right side
    3,057.64x = 7,589,891.35
  5. Step 5: Solve for x
    x = 7,589,891.35/3,057.64
  6. Step 6: Final answer
    x = 2,482.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.