Home / 1,587.33-2,380.91-942.17

Finding the Fourth Proportional to 1,587.33, 2,380.91 and 942.17

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Solution

The fourth proportional to 1,587.33, 2,380.91 and 942.17 is: 1,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.33 : 2,380.91 = 942.17 : x
  2. Step 2: Convert to fraction form
    1,587.33/2,380.91 = 942.17/x
  3. Step 3: Cross multiply
    1,587.33x = 2,380.91 × 942.17
  4. Step 4: Simplify right side
    1,587.33x = 2,243,205.36
  5. Step 5: Solve for x
    x = 2,243,205.36/1,587.33
  6. Step 6: Final answer
    x = 1,413.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.