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Finding the Fourth Proportional to 2,302.28, 3,453.40 and 915.94

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Solution

The fourth proportional to 2,302.28, 3,453.40 and 915.94 is: 1,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.28 : 3,453.40 = 915.94 : x
  2. Step 2: Convert to fraction form
    2,302.28/3,453.40 = 915.94/x
  3. Step 3: Cross multiply
    2,302.28x = 3,453.40 × 915.94
  4. Step 4: Simplify right side
    2,302.28x = 3,163,107.20
  5. Step 5: Solve for x
    x = 3,163,107.20/2,302.28
  6. Step 6: Final answer
    x = 1,373.90

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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.