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Finding the Fourth Proportional to 2,113.57, 3,172.30 and 1,074.30

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Solution

The fourth proportional to 2,113.57, 3,172.30 and 1,074.30 is: 1,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.57 : 3,172.30 = 1,074.30 : x
  2. Step 2: Convert to fraction form
    2,113.57/3,172.30 = 1,074.30/x
  3. Step 3: Cross multiply
    2,113.57x = 3,172.30 × 1,074.30
  4. Step 4: Simplify right side
    2,113.57x = 3,408,001.89
  5. Step 5: Solve for x
    x = 3,408,001.89/2,113.57
  6. Step 6: Final answer
    x = 1,612.44

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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.