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Finding the Fourth Proportional to 4,609.60, 6,915.46 and 1,322.72

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Solution

The fourth proportional to 4,609.60, 6,915.46 and 1,322.72 is: 1,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.60 : 6,915.46 = 1,322.72 : x
  2. Step 2: Convert to fraction form
    4,609.60/6,915.46 = 1,322.72/x
  3. Step 3: Cross multiply
    4,609.60x = 6,915.46 × 1,322.72
  4. Step 4: Simplify right side
    4,609.60x = 9,147,217.25
  5. Step 5: Solve for x
    x = 9,147,217.25/4,609.60
  6. Step 6: Final answer
    x = 1,984.38

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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.