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Finding the Fourth Proportional to 1,452.66, 2,005.68 and 893.85

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Solution

The fourth proportional to 1,452.66, 2,005.68 and 893.85 is: 1,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.66 : 2,005.68 = 893.85 : x
  2. Step 2: Convert to fraction form
    1,452.66/2,005.68 = 893.85/x
  3. Step 3: Cross multiply
    1,452.66x = 2,005.68 × 893.85
  4. Step 4: Simplify right side
    1,452.66x = 1,792,777.07
  5. Step 5: Solve for x
    x = 1,792,777.07/1,452.66
  6. Step 6: Final answer
    x = 1,234.13

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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.