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Finding the Fourth Proportional to 1,592.19, 2,197.26 and 893.55

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Solution

The fourth proportional to 1,592.19, 2,197.26 and 893.55 is: 1,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.19 : 2,197.26 = 893.55 : x
  2. Step 2: Convert to fraction form
    1,592.19/2,197.26 = 893.55/x
  3. Step 3: Cross multiply
    1,592.19x = 2,197.26 × 893.55
  4. Step 4: Simplify right side
    1,592.19x = 1,963,361.67
  5. Step 5: Solve for x
    x = 1,963,361.67/1,592.19
  6. Step 6: Final answer
    x = 1,233.12

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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.