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Finding the Fourth Proportional to 1,592.45, 2,197.68 and 893.81

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Solution

The fourth proportional to 1,592.45, 2,197.68 and 893.81 is: 1,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.45 : 2,197.68 = 893.81 : x
  2. Step 2: Convert to fraction form
    1,592.45/2,197.68 = 893.81/x
  3. Step 3: Cross multiply
    1,592.45x = 2,197.68 × 893.81
  4. Step 4: Simplify right side
    1,592.45x = 1,964,308.36
  5. Step 5: Solve for x
    x = 1,964,308.36/1,592.45
  6. Step 6: Final answer
    x = 1,233.51

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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.