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Finding the Fourth Proportional to 2,975.52, 4,463.51 and 784.22

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Solution

The fourth proportional to 2,975.52, 4,463.51 and 784.22 is: 1,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.52 : 4,463.51 = 784.22 : x
  2. Step 2: Convert to fraction form
    2,975.52/4,463.51 = 784.22/x
  3. Step 3: Cross multiply
    2,975.52x = 4,463.51 × 784.22
  4. Step 4: Simplify right side
    2,975.52x = 3,500,347.57
  5. Step 5: Solve for x
    x = 3,500,347.57/2,975.52
  6. Step 6: Final answer
    x = 1,176.38

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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.