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Finding the Fourth Proportional to 2,896.00, 3,996.51 and 1,569.70

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Solution

The fourth proportional to 2,896.00, 3,996.51 and 1,569.70 is: 2,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.00 : 3,996.51 = 1,569.70 : x
  2. Step 2: Convert to fraction form
    2,896.00/3,996.51 = 1,569.70/x
  3. Step 3: Cross multiply
    2,896.00x = 3,996.51 × 1,569.70
  4. Step 4: Simplify right side
    2,896.00x = 6,273,345.34
  5. Step 5: Solve for x
    x = 6,273,345.34/2,896.00
  6. Step 6: Final answer
    x = 2,166.21

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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.