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Finding the Fourth Proportional to 2,646.36, 3,969.72 and 915.12

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Solution

The fourth proportional to 2,646.36, 3,969.72 and 915.12 is: 1,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.36 : 3,969.72 = 915.12 : x
  2. Step 2: Convert to fraction form
    2,646.36/3,969.72 = 915.12/x
  3. Step 3: Cross multiply
    2,646.36x = 3,969.72 × 915.12
  4. Step 4: Simplify right side
    2,646.36x = 3,632,770.17
  5. Step 5: Solve for x
    x = 3,632,770.17/2,646.36
  6. Step 6: Final answer
    x = 1,372.74

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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.