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Finding the Fourth Proportional to 4,642.61, 6,960.61 and 2,176.08

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Solution

The fourth proportional to 4,642.61, 6,960.61 and 2,176.08 is: 3,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.61 : 6,960.61 = 2,176.08 : x
  2. Step 2: Convert to fraction form
    4,642.61/6,960.61 = 2,176.08/x
  3. Step 3: Cross multiply
    4,642.61x = 6,960.61 × 2,176.08
  4. Step 4: Simplify right side
    4,642.61x = 15,146,844.21
  5. Step 5: Solve for x
    x = 15,146,844.21/4,642.61
  6. Step 6: Final answer
    x = 3,262.57

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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.