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Finding the Fourth Proportional to 2,609.63, 3,915.98 and 967.32

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Solution

The fourth proportional to 2,609.63, 3,915.98 and 967.32 is: 1,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.63 : 3,915.98 = 967.32 : x
  2. Step 2: Convert to fraction form
    2,609.63/3,915.98 = 967.32/x
  3. Step 3: Cross multiply
    2,609.63x = 3,915.98 × 967.32
  4. Step 4: Simplify right side
    2,609.63x = 3,788,008.19
  5. Step 5: Solve for x
    x = 3,788,008.19/2,609.63
  6. Step 6: Final answer
    x = 1,451.55

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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.