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Finding the Fourth Proportional to 3,114.42, 4,671.62 and 1,034.58

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Solution

The fourth proportional to 3,114.42, 4,671.62 and 1,034.58 is: 1,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.42 : 4,671.62 = 1,034.58 : x
  2. Step 2: Convert to fraction form
    3,114.42/4,671.62 = 1,034.58/x
  3. Step 3: Cross multiply
    3,114.42x = 4,671.62 × 1,034.58
  4. Step 4: Simplify right side
    3,114.42x = 4,833,136.09
  5. Step 5: Solve for x
    x = 4,833,136.09/3,114.42
  6. Step 6: Final answer
    x = 1,551.86

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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.