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Finding the Fourth Proportional to 2,975.73, 4,463.66 and 784.41

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Solution

The fourth proportional to 2,975.73, 4,463.66 and 784.41 is: 1,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.73 : 4,463.66 = 784.41 : x
  2. Step 2: Convert to fraction form
    2,975.73/4,463.66 = 784.41/x
  3. Step 3: Cross multiply
    2,975.73x = 4,463.66 × 784.41
  4. Step 4: Simplify right side
    2,975.73x = 3,501,339.54
  5. Step 5: Solve for x
    x = 3,501,339.54/2,975.73
  6. Step 6: Final answer
    x = 1,176.63

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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.