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Finding the Fourth Proportional to 2,796.66, 4,196.75 and 1,564.87

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Solution

The fourth proportional to 2,796.66, 4,196.75 and 1,564.87 is: 2,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.66 : 4,196.75 = 1,564.87 : x
  2. Step 2: Convert to fraction form
    2,796.66/4,196.75 = 1,564.87/x
  3. Step 3: Cross multiply
    2,796.66x = 4,196.75 × 1,564.87
  4. Step 4: Simplify right side
    2,796.66x = 6,567,368.17
  5. Step 5: Solve for x
    x = 6,567,368.17/2,796.66
  6. Step 6: Final answer
    x = 2,348.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.