Home / 1,590.44-2,195.82-1,023.53

Finding the Fourth Proportional to 1,590.44, 2,195.82 and 1,023.53

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Solution

The fourth proportional to 1,590.44, 2,195.82 and 1,023.53 is: 1,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.44 : 2,195.82 = 1,023.53 : x
  2. Step 2: Convert to fraction form
    1,590.44/2,195.82 = 1,023.53/x
  3. Step 3: Cross multiply
    1,590.44x = 2,195.82 × 1,023.53
  4. Step 4: Simplify right side
    1,590.44x = 2,247,476.67
  5. Step 5: Solve for x
    x = 2,247,476.67/1,590.44
  6. Step 6: Final answer
    x = 1,413.12

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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.