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Finding the Fourth Proportional to 4,661.65, 6,992.34 and 1,541.80

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Solution

The fourth proportional to 4,661.65, 6,992.34 and 1,541.80 is: 2,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.65 : 6,992.34 = 1,541.80 : x
  2. Step 2: Convert to fraction form
    4,661.65/6,992.34 = 1,541.80/x
  3. Step 3: Cross multiply
    4,661.65x = 6,992.34 × 1,541.80
  4. Step 4: Simplify right side
    4,661.65x = 10,780,789.81
  5. Step 5: Solve for x
    x = 10,780,789.81/4,661.65
  6. Step 6: Final answer
    x = 2,312.66

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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.