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Finding the Fourth Proportional to 1,641.95, 2,462.07 and 601.91

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Solution

The fourth proportional to 1,641.95, 2,462.07 and 601.91 is: 902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.95 : 2,462.07 = 601.91 : x
  2. Step 2: Convert to fraction form
    1,641.95/2,462.07 = 601.91/x
  3. Step 3: Cross multiply
    1,641.95x = 2,462.07 × 601.91
  4. Step 4: Simplify right side
    1,641.95x = 1,481,944.55
  5. Step 5: Solve for x
    x = 1,481,944.55/1,641.95
  6. Step 6: Final answer
    x = 902.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.