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Finding the Fourth Proportional to 2,437.68, 3,654.36 and 976.56

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Solution

The fourth proportional to 2,437.68, 3,654.36 and 976.56 is: 1,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.68 : 3,654.36 = 976.56 : x
  2. Step 2: Convert to fraction form
    2,437.68/3,654.36 = 976.56/x
  3. Step 3: Cross multiply
    2,437.68x = 3,654.36 × 976.56
  4. Step 4: Simplify right side
    2,437.68x = 3,568,701.80
  5. Step 5: Solve for x
    x = 3,568,701.80/2,437.68
  6. Step 6: Final answer
    x = 1,463.97

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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.