Home / 2,982.59-4,116.16-1,656.32

Finding the Fourth Proportional to 2,982.59, 4,116.16 and 1,656.32

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Solution

The fourth proportional to 2,982.59, 4,116.16 and 1,656.32 is: 2,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.59 : 4,116.16 = 1,656.32 : x
  2. Step 2: Convert to fraction form
    2,982.59/4,116.16 = 1,656.32/x
  3. Step 3: Cross multiply
    2,982.59x = 4,116.16 × 1,656.32
  4. Step 4: Simplify right side
    2,982.59x = 6,817,653.41
  5. Step 5: Solve for x
    x = 6,817,653.41/2,982.59
  6. Step 6: Final answer
    x = 2,285.82

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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.