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Finding the Fourth Proportional to 2,364.40, 3,529.10 and 2,218.48

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Solution

The fourth proportional to 2,364.40, 3,529.10 and 2,218.48 is: 3,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.40 : 3,529.10 = 2,218.48 : x
  2. Step 2: Convert to fraction form
    2,364.40/3,529.10 = 2,218.48/x
  3. Step 3: Cross multiply
    2,364.40x = 3,529.10 × 2,218.48
  4. Step 4: Simplify right side
    2,364.40x = 7,829,237.77
  5. Step 5: Solve for x
    x = 7,829,237.77/2,364.40
  6. Step 6: Final answer
    x = 3,311.30

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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.