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Finding the Fourth Proportional to 2,645.72, 3,970.22 and 915.56

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Solution

The fourth proportional to 2,645.72, 3,970.22 and 915.56 is: 1,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.72 : 3,970.22 = 915.56 : x
  2. Step 2: Convert to fraction form
    2,645.72/3,970.22 = 915.56/x
  3. Step 3: Cross multiply
    2,645.72x = 3,970.22 × 915.56
  4. Step 4: Simplify right side
    2,645.72x = 3,634,974.62
  5. Step 5: Solve for x
    x = 3,634,974.62/2,645.72
  6. Step 6: Final answer
    x = 1,373.91

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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.