Home / 1,583.80-2,185.87-1,142.30

Finding the Fourth Proportional to 1,583.80, 2,185.87 and 1,142.30

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Solution

The fourth proportional to 1,583.80, 2,185.87 and 1,142.30 is: 1,576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.80 : 2,185.87 = 1,142.30 : x
  2. Step 2: Convert to fraction form
    1,583.80/2,185.87 = 1,142.30/x
  3. Step 3: Cross multiply
    1,583.80x = 2,185.87 × 1,142.30
  4. Step 4: Simplify right side
    1,583.80x = 2,496,908.37
  5. Step 5: Solve for x
    x = 2,496,908.37/1,583.80
  6. Step 6: Final answer
    x = 1,576.54

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Why These Related Problems?

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