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Finding the Fourth Proportional to 1,942.10, 2,910.53 and 886.59

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Solution

The fourth proportional to 1,942.10, 2,910.53 and 886.59 is: 1,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.10 : 2,910.53 = 886.59 : x
  2. Step 2: Convert to fraction form
    1,942.10/2,910.53 = 886.59/x
  3. Step 3: Cross multiply
    1,942.10x = 2,910.53 × 886.59
  4. Step 4: Simplify right side
    1,942.10x = 2,580,442.36
  5. Step 5: Solve for x
    x = 2,580,442.36/1,942.10
  6. Step 6: Final answer
    x = 1,328.69

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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.