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Finding the Fourth Proportional to 2,646.64, 3,969.93 and 915.24

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Solution

The fourth proportional to 2,646.64, 3,969.93 and 915.24 is: 1,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.64 : 3,969.93 = 915.24 : x
  2. Step 2: Convert to fraction form
    2,646.64/3,969.93 = 915.24/x
  3. Step 3: Cross multiply
    2,646.64x = 3,969.93 × 915.24
  4. Step 4: Simplify right side
    2,646.64x = 3,633,438.73
  5. Step 5: Solve for x
    x = 3,633,438.73/2,646.64
  6. Step 6: Final answer
    x = 1,372.85

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Why These Related Problems?

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