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Finding the Fourth Proportional to 1,671.58, 2,503.72 and 1,183.15

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Solution

The fourth proportional to 1,671.58, 2,503.72 and 1,183.15 is: 1,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.58 : 2,503.72 = 1,183.15 : x
  2. Step 2: Convert to fraction form
    1,671.58/2,503.72 = 1,183.15/x
  3. Step 3: Cross multiply
    1,671.58x = 2,503.72 × 1,183.15
  4. Step 4: Simplify right side
    1,671.58x = 2,962,267.10
  5. Step 5: Solve for x
    x = 2,962,267.10/1,671.58
  6. Step 6: Final answer
    x = 1,772.14

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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.