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Finding the Fourth Proportional to 2,364.30, 3,564.16 and 2,205.72

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Solution

The fourth proportional to 2,364.30, 3,564.16 and 2,205.72 is: 3,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.30 : 3,564.16 = 2,205.72 : x
  2. Step 2: Convert to fraction form
    2,364.30/3,564.16 = 2,205.72/x
  3. Step 3: Cross multiply
    2,364.30x = 3,564.16 × 2,205.72
  4. Step 4: Simplify right side
    2,364.30x = 7,861,527.97
  5. Step 5: Solve for x
    x = 7,861,527.97/2,364.30
  6. Step 6: Final answer
    x = 3,325.10

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Why These Related Problems?

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