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Finding the Fourth Proportional to 1,592.16, 2,197.20 and 893.54

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Solution

The fourth proportional to 1,592.16, 2,197.20 and 893.54 is: 1,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.16 : 2,197.20 = 893.54 : x
  2. Step 2: Convert to fraction form
    1,592.16/2,197.20 = 893.54/x
  3. Step 3: Cross multiply
    1,592.16x = 2,197.20 × 893.54
  4. Step 4: Simplify right side
    1,592.16x = 1,963,286.09
  5. Step 5: Solve for x
    x = 1,963,286.09/1,592.16
  6. Step 6: Final answer
    x = 1,233.10

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