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Finding the Fourth Proportional to 2,175.58, 3,002.31 and 1,180.87

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Solution

The fourth proportional to 2,175.58, 3,002.31 and 1,180.87 is: 1,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.58 : 3,002.31 = 1,180.87 : x
  2. Step 2: Convert to fraction form
    2,175.58/3,002.31 = 1,180.87/x
  3. Step 3: Cross multiply
    2,175.58x = 3,002.31 × 1,180.87
  4. Step 4: Simplify right side
    2,175.58x = 3,545,328.99
  5. Step 5: Solve for x
    x = 3,545,328.99/2,175.58
  6. Step 6: Final answer
    x = 1,629.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.