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Finding the Fourth Proportional to 2,975.91, 4,463.35 and 784.66

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Solution

The fourth proportional to 2,975.91, 4,463.35 and 784.66 is: 1,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.91 : 4,463.35 = 784.66 : x
  2. Step 2: Convert to fraction form
    2,975.91/4,463.35 = 784.66/x
  3. Step 3: Cross multiply
    2,975.91x = 4,463.35 × 784.66
  4. Step 4: Simplify right side
    2,975.91x = 3,502,189.89
  5. Step 5: Solve for x
    x = 3,502,189.89/2,975.91
  6. Step 6: Final answer
    x = 1,176.85

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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.