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Finding the Fourth Proportional to 2,064.53, 3,093.97 and 877.58

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Solution

The fourth proportional to 2,064.53, 3,093.97 and 877.58 is: 1,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.53 : 3,093.97 = 877.58 : x
  2. Step 2: Convert to fraction form
    2,064.53/3,093.97 = 877.58/x
  3. Step 3: Cross multiply
    2,064.53x = 3,093.97 × 877.58
  4. Step 4: Simplify right side
    2,064.53x = 2,715,190.72
  5. Step 5: Solve for x
    x = 2,715,190.72/2,064.53
  6. Step 6: Final answer
    x = 1,315.16

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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.