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Finding the Fourth Proportional to 1,641.21, 2,461.83 and 515.48

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Solution

The fourth proportional to 1,641.21, 2,461.83 and 515.48 is: 773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.21 : 2,461.83 = 515.48 : x
  2. Step 2: Convert to fraction form
    1,641.21/2,461.83 = 515.48/x
  3. Step 3: Cross multiply
    1,641.21x = 2,461.83 × 515.48
  4. Step 4: Simplify right side
    1,641.21x = 1,269,024.13
  5. Step 5: Solve for x
    x = 1,269,024.13/1,641.21
  6. Step 6: Final answer
    x = 773.22

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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.