Home / 1,583.74-2,185.03-1,024.92

Finding the Fourth Proportional to 1,583.74, 2,185.03 and 1,024.92

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Solution

The fourth proportional to 1,583.74, 2,185.03 and 1,024.92 is: 1,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.74 : 2,185.03 = 1,024.92 : x
  2. Step 2: Convert to fraction form
    1,583.74/2,185.03 = 1,024.92/x
  3. Step 3: Cross multiply
    1,583.74x = 2,185.03 × 1,024.92
  4. Step 4: Simplify right side
    1,583.74x = 2,239,485.11
  5. Step 5: Solve for x
    x = 2,239,485.11/1,583.74
  6. Step 6: Final answer
    x = 1,414.04

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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.