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Finding the Fourth Proportional to 3,114.16, 4,671.84 and 1,166.32

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Solution

The fourth proportional to 3,114.16, 4,671.84 and 1,166.32 is: 1,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.16 : 4,671.84 = 1,166.32 : x
  2. Step 2: Convert to fraction form
    3,114.16/4,671.84 = 1,166.32/x
  3. Step 3: Cross multiply
    3,114.16x = 4,671.84 × 1,166.32
  4. Step 4: Simplify right side
    3,114.16x = 5,448,860.43
  5. Step 5: Solve for x
    x = 5,448,860.43/3,114.16
  6. Step 6: Final answer
    x = 1,749.70

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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.