Home / 2,287.64-3,413.44-2,148.32

Finding the Fourth Proportional to 2,287.64, 3,413.44 and 2,148.32

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Solution

The fourth proportional to 2,287.64, 3,413.44 and 2,148.32 is: 3,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.64 : 3,413.44 = 2,148.32 : x
  2. Step 2: Convert to fraction form
    2,287.64/3,413.44 = 2,148.32/x
  3. Step 3: Cross multiply
    2,287.64x = 3,413.44 × 2,148.32
  4. Step 4: Simplify right side
    2,287.64x = 7,333,161.42
  5. Step 5: Solve for x
    x = 7,333,161.42/2,287.64
  6. Step 6: Final answer
    x = 3,205.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.