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Finding the Fourth Proportional to 2,302.10, 3,453.60 and 915.20

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Solution

The fourth proportional to 2,302.10, 3,453.60 and 915.20 is: 1,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.10 : 3,453.60 = 915.20 : x
  2. Step 2: Convert to fraction form
    2,302.10/3,453.60 = 915.20/x
  3. Step 3: Cross multiply
    2,302.10x = 3,453.60 × 915.20
  4. Step 4: Simplify right side
    2,302.10x = 3,160,734.72
  5. Step 5: Solve for x
    x = 3,160,734.72/2,302.10
  6. Step 6: Final answer
    x = 1,372.98

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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.