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Finding the Fourth Proportional to 1,641.49, 2,462.43 and 601.98

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Solution

The fourth proportional to 1,641.49, 2,462.43 and 601.98 is: 903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.49 : 2,462.43 = 601.98 : x
  2. Step 2: Convert to fraction form
    1,641.49/2,462.43 = 601.98/x
  3. Step 3: Cross multiply
    1,641.49x = 2,462.43 × 601.98
  4. Step 4: Simplify right side
    1,641.49x = 1,482,335.41
  5. Step 5: Solve for x
    x = 1,482,335.41/1,641.49
  6. Step 6: Final answer
    x = 903.04

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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.