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Finding the Fourth Proportional to 2,509.70, 3,455.66 and 2,229.45

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Solution

The fourth proportional to 2,509.70, 3,455.66 and 2,229.45 is: 3,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.70 : 3,455.66 = 2,229.45 : x
  2. Step 2: Convert to fraction form
    2,509.70/3,455.66 = 2,229.45/x
  3. Step 3: Cross multiply
    2,509.70x = 3,455.66 × 2,229.45
  4. Step 4: Simplify right side
    2,509.70x = 7,704,192.76
  5. Step 5: Solve for x
    x = 7,704,192.76/2,509.70
  6. Step 6: Final answer
    x = 3,069.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.