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Finding the Fourth Proportional to 3,262.69, 4,502.47 and 1,846.47

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Solution

The fourth proportional to 3,262.69, 4,502.47 and 1,846.47 is: 2,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.69 : 4,502.47 = 1,846.47 : x
  2. Step 2: Convert to fraction form
    3,262.69/4,502.47 = 1,846.47/x
  3. Step 3: Cross multiply
    3,262.69x = 4,502.47 × 1,846.47
  4. Step 4: Simplify right side
    3,262.69x = 8,313,666.55
  5. Step 5: Solve for x
    x = 8,313,666.55/3,262.69
  6. Step 6: Final answer
    x = 2,548.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.