Home / 1,576.82-2,175.73-1,106.16

Finding the Fourth Proportional to 1,576.82, 2,175.73 and 1,106.16

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Solution

The fourth proportional to 1,576.82, 2,175.73 and 1,106.16 is: 1,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.82 : 2,175.73 = 1,106.16 : x
  2. Step 2: Convert to fraction form
    1,576.82/2,175.73 = 1,106.16/x
  3. Step 3: Cross multiply
    1,576.82x = 2,175.73 × 1,106.16
  4. Step 4: Simplify right side
    1,576.82x = 2,406,694.57
  5. Step 5: Solve for x
    x = 2,406,694.57/1,576.82
  6. Step 6: Final answer
    x = 1,526.30

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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.