Home / 2,983.86-4,117.64-1,657.53

Finding the Fourth Proportional to 2,983.86, 4,117.64 and 1,657.53

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Solution

The fourth proportional to 2,983.86, 4,117.64 and 1,657.53 is: 2,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.86 : 4,117.64 = 1,657.53 : x
  2. Step 2: Convert to fraction form
    2,983.86/4,117.64 = 1,657.53/x
  3. Step 3: Cross multiply
    2,983.86x = 4,117.64 × 1,657.53
  4. Step 4: Simplify right side
    2,983.86x = 6,825,103.54
  5. Step 5: Solve for x
    x = 6,825,103.54/2,983.86
  6. Step 6: Final answer
    x = 2,287.34

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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.