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Finding the Fourth Proportional to 2,269.40, 3,401.40 and 2,037.20

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Solution

The fourth proportional to 2,269.40, 3,401.40 and 2,037.20 is: 3,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.40 : 3,401.40 = 2,037.20 : x
  2. Step 2: Convert to fraction form
    2,269.40/3,401.40 = 2,037.20/x
  3. Step 3: Cross multiply
    2,269.40x = 3,401.40 × 2,037.20
  4. Step 4: Simplify right side
    2,269.40x = 6,929,332.08
  5. Step 5: Solve for x
    x = 6,929,332.08/2,269.40
  6. Step 6: Final answer
    x = 3,053.38

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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.