Home / 2,983.80-4,117.40-1,657.40

Finding the Fourth Proportional to 2,983.80, 4,117.40 and 1,657.40

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Solution

The fourth proportional to 2,983.80, 4,117.40 and 1,657.40 is: 2,287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.80 : 4,117.40 = 1,657.40 : x
  2. Step 2: Convert to fraction form
    2,983.80/4,117.40 = 1,657.40/x
  3. Step 3: Cross multiply
    2,983.80x = 4,117.40 × 1,657.40
  4. Step 4: Simplify right side
    2,983.80x = 6,824,178.76
  5. Step 5: Solve for x
    x = 6,824,178.76/2,983.80
  6. Step 6: Final answer
    x = 2,287.08

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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.