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Finding the Fourth Proportional to 3,491.66, 5,235.06 and 1,641

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Solution

The fourth proportional to 3,491.66, 5,235.06 and 1,641 is: 2,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.66 : 5,235.06 = 1,641 : x
  2. Step 2: Convert to fraction form
    3,491.66/5,235.06 = 1,641/x
  3. Step 3: Cross multiply
    3,491.66x = 5,235.06 × 1,641
  4. Step 4: Simplify right side
    3,491.66x = 8,590,733.46
  5. Step 5: Solve for x
    x = 8,590,733.46/3,491.66
  6. Step 6: Final answer
    x = 2,460.36

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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.