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Finding the Fourth Proportional to 2,473.74, 3,412.80 and 1,425.60

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Solution

The fourth proportional to 2,473.74, 3,412.80 and 1,425.60 is: 1,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.74 : 3,412.80 = 1,425.60 : x
  2. Step 2: Convert to fraction form
    2,473.74/3,412.80 = 1,425.60/x
  3. Step 3: Cross multiply
    2,473.74x = 3,412.80 × 1,425.60
  4. Step 4: Simplify right side
    2,473.74x = 4,865,287.68
  5. Step 5: Solve for x
    x = 4,865,287.68/2,473.74
  6. Step 6: Final answer
    x = 1,966.77

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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.