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Finding the Fourth Proportional to 2,322.70, 3,501.13 and 2,188.86

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Solution

The fourth proportional to 2,322.70, 3,501.13 and 2,188.86 is: 3,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.70 : 3,501.13 = 2,188.86 : x
  2. Step 2: Convert to fraction form
    2,322.70/3,501.13 = 2,188.86/x
  3. Step 3: Cross multiply
    2,322.70x = 3,501.13 × 2,188.86
  4. Step 4: Simplify right side
    2,322.70x = 7,663,472.47
  5. Step 5: Solve for x
    x = 7,663,472.47/2,322.70
  6. Step 6: Final answer
    x = 3,299.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.