Home / 1,583.17-2,185.92-1,023.96

Finding the Fourth Proportional to 1,583.17, 2,185.92 and 1,023.96

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Solution

The fourth proportional to 1,583.17, 2,185.92 and 1,023.96 is: 1,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.17 : 2,185.92 = 1,023.96 : x
  2. Step 2: Convert to fraction form
    1,583.17/2,185.92 = 1,023.96/x
  3. Step 3: Cross multiply
    1,583.17x = 2,185.92 × 1,023.96
  4. Step 4: Simplify right side
    1,583.17x = 2,238,294.64
  5. Step 5: Solve for x
    x = 2,238,294.64/1,583.17
  6. Step 6: Final answer
    x = 1,413.81

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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.