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Finding the Fourth Proportional to 2,365.70, 3,529.44 and 2,280.60

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Solution

The fourth proportional to 2,365.70, 3,529.44 and 2,280.60 is: 3,402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.70 : 3,529.44 = 2,280.60 : x
  2. Step 2: Convert to fraction form
    2,365.70/3,529.44 = 2,280.60/x
  3. Step 3: Cross multiply
    2,365.70x = 3,529.44 × 2,280.60
  4. Step 4: Simplify right side
    2,365.70x = 8,049,240.86
  5. Step 5: Solve for x
    x = 8,049,240.86/2,365.70
  6. Step 6: Final answer
    x = 3,402.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.