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Finding the Fourth Proportional to 2,824.00, 3,897.07 and 1,564.99

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Solution

The fourth proportional to 2,824.00, 3,897.07 and 1,564.99 is: 2,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.00 : 3,897.07 = 1,564.99 : x
  2. Step 2: Convert to fraction form
    2,824.00/3,897.07 = 1,564.99/x
  3. Step 3: Cross multiply
    2,824.00x = 3,897.07 × 1,564.99
  4. Step 4: Simplify right side
    2,824.00x = 6,098,861.92
  5. Step 5: Solve for x
    x = 6,098,861.92/2,824.00
  6. Step 6: Final answer
    x = 2,159.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.