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Finding the Fourth Proportional to 2,473.62, 3,412.62 and 1,425.48

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Solution

The fourth proportional to 2,473.62, 3,412.62 and 1,425.48 is: 1,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.62 : 3,412.62 = 1,425.48 : x
  2. Step 2: Convert to fraction form
    2,473.62/3,412.62 = 1,425.48/x
  3. Step 3: Cross multiply
    2,473.62x = 3,412.62 × 1,425.48
  4. Step 4: Simplify right side
    2,473.62x = 4,864,621.56
  5. Step 5: Solve for x
    x = 4,864,621.56/2,473.62
  6. Step 6: Final answer
    x = 1,966.60

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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.