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Finding the Fourth Proportional to 1,450.99, 2,175.42 and 931.58

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Solution

The fourth proportional to 1,450.99, 2,175.42 and 931.58 is: 1,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.99 : 2,175.42 = 931.58 : x
  2. Step 2: Convert to fraction form
    1,450.99/2,175.42 = 931.58/x
  3. Step 3: Cross multiply
    1,450.99x = 2,175.42 × 931.58
  4. Step 4: Simplify right side
    1,450.99x = 2,026,577.76
  5. Step 5: Solve for x
    x = 2,026,577.76/1,450.99
  6. Step 6: Final answer
    x = 1,396.69

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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.