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Finding the Fourth Proportional to 1,632.61, 2,445.67 and 984.61

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Solution

The fourth proportional to 1,632.61, 2,445.67 and 984.61 is: 1,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.61 : 2,445.67 = 984.61 : x
  2. Step 2: Convert to fraction form
    1,632.61/2,445.67 = 984.61/x
  3. Step 3: Cross multiply
    1,632.61x = 2,445.67 × 984.61
  4. Step 4: Simplify right side
    1,632.61x = 2,408,031.14
  5. Step 5: Solve for x
    x = 2,408,031.14/1,632.61
  6. Step 6: Final answer
    x = 1,474.96

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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.