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Finding the Fourth Proportional to 3,114.54, 4,671.63 and 1,166.58

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Solution

The fourth proportional to 3,114.54, 4,671.63 and 1,166.58 is: 1,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.54 : 4,671.63 = 1,166.58 : x
  2. Step 2: Convert to fraction form
    3,114.54/4,671.63 = 1,166.58/x
  3. Step 3: Cross multiply
    3,114.54x = 4,671.63 × 1,166.58
  4. Step 4: Simplify right side
    3,114.54x = 5,449,830.13
  5. Step 5: Solve for x
    x = 5,449,830.13/3,114.54
  6. Step 6: Final answer
    x = 1,749.80

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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.