Home / 2,032.39-2,804.75-1,148.20

Finding the Fourth Proportional to 2,032.39, 2,804.75 and 1,148.20

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Solution

The fourth proportional to 2,032.39, 2,804.75 and 1,148.20 is: 1,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.39 : 2,804.75 = 1,148.20 : x
  2. Step 2: Convert to fraction form
    2,032.39/2,804.75 = 1,148.20/x
  3. Step 3: Cross multiply
    2,032.39x = 2,804.75 × 1,148.20
  4. Step 4: Simplify right side
    2,032.39x = 3,220,413.95
  5. Step 5: Solve for x
    x = 3,220,413.95/2,032.39
  6. Step 6: Final answer
    x = 1,584.55

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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.