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Finding the Fourth Proportional to 2,351.70, 3,522.76 and 1,115.36

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Solution

The fourth proportional to 2,351.70, 3,522.76 and 1,115.36 is: 1,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.70 : 3,522.76 = 1,115.36 : x
  2. Step 2: Convert to fraction form
    2,351.70/3,522.76 = 1,115.36/x
  3. Step 3: Cross multiply
    2,351.70x = 3,522.76 × 1,115.36
  4. Step 4: Simplify right side
    2,351.70x = 3,929,145.59
  5. Step 5: Solve for x
    x = 3,929,145.59/2,351.70
  6. Step 6: Final answer
    x = 1,670.77

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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.