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Finding the Fourth Proportional to 2,349.61, 3,521.07 and 2,224.87

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Solution

The fourth proportional to 2,349.61, 3,521.07 and 2,224.87 is: 3,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.61 : 3,521.07 = 2,224.87 : x
  2. Step 2: Convert to fraction form
    2,349.61/3,521.07 = 2,224.87/x
  3. Step 3: Cross multiply
    2,349.61x = 3,521.07 × 2,224.87
  4. Step 4: Simplify right side
    2,349.61x = 7,833,914.21
  5. Step 5: Solve for x
    x = 7,833,914.21/2,349.61
  6. Step 6: Final answer
    x = 3,334.14

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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.