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Finding the Fourth Proportional to 1,450.14, 2,175.29 and 1,041.14

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Solution

The fourth proportional to 1,450.14, 2,175.29 and 1,041.14 is: 1,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.14 : 2,175.29 = 1,041.14 : x
  2. Step 2: Convert to fraction form
    1,450.14/2,175.29 = 1,041.14/x
  3. Step 3: Cross multiply
    1,450.14x = 2,175.29 × 1,041.14
  4. Step 4: Simplify right side
    1,450.14x = 2,264,765.35
  5. Step 5: Solve for x
    x = 2,264,765.35/1,450.14
  6. Step 6: Final answer
    x = 1,561.76

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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.