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Finding the Fourth Proportional to 1,591.70, 2,196.54 and 893.07

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Solution

The fourth proportional to 1,591.70, 2,196.54 and 893.07 is: 1,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.70 : 2,196.54 = 893.07 : x
  2. Step 2: Convert to fraction form
    1,591.70/2,196.54 = 893.07/x
  3. Step 3: Cross multiply
    1,591.70x = 2,196.54 × 893.07
  4. Step 4: Simplify right side
    1,591.70x = 1,961,663.98
  5. Step 5: Solve for x
    x = 1,961,663.98/1,591.70
  6. Step 6: Final answer
    x = 1,232.44

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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.