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Finding the Fourth Proportional to 1,555.94, 2,147.49 and 893.22

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Solution

The fourth proportional to 1,555.94, 2,147.49 and 893.22 is: 1,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.94 : 2,147.49 = 893.22 : x
  2. Step 2: Convert to fraction form
    1,555.94/2,147.49 = 893.22/x
  3. Step 3: Cross multiply
    1,555.94x = 2,147.49 × 893.22
  4. Step 4: Simplify right side
    1,555.94x = 1,918,181.02
  5. Step 5: Solve for x
    x = 1,918,181.02/1,555.94
  6. Step 6: Final answer
    x = 1,232.82

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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.