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Finding the Fourth Proportional to 1,592, 2,196.96 and 893.36

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Solution

The fourth proportional to 1,592, 2,196.96 and 893.36 is: 1,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592 : 2,196.96 = 893.36 : x
  2. Step 2: Convert to fraction form
    1,592/2,196.96 = 893.36/x
  3. Step 3: Cross multiply
    1,592x = 2,196.96 × 893.36
  4. Step 4: Simplify right side
    1,592x = 1,962,676.19
  5. Step 5: Solve for x
    x = 1,962,676.19/1,592
  6. Step 6: Final answer
    x = 1,232.84

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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.