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Finding the Fourth Proportional to 2,537.18, 3,805.75 and 893.53

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Solution

The fourth proportional to 2,537.18, 3,805.75 and 893.53 is: 1,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.18 : 3,805.75 = 893.53 : x
  2. Step 2: Convert to fraction form
    2,537.18/3,805.75 = 893.53/x
  3. Step 3: Cross multiply
    2,537.18x = 3,805.75 × 893.53
  4. Step 4: Simplify right side
    2,537.18x = 3,400,551.80
  5. Step 5: Solve for x
    x = 3,400,551.80/2,537.18
  6. Step 6: Final answer
    x = 1,340.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.