Home / 2,094.12-3,142.62-1,547.70

Finding the Fourth Proportional to 2,094.12, 3,142.62 and 1,547.70

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Solution

The fourth proportional to 2,094.12, 3,142.62 and 1,547.70 is: 2,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.12 : 3,142.62 = 1,547.70 : x
  2. Step 2: Convert to fraction form
    2,094.12/3,142.62 = 1,547.70/x
  3. Step 3: Cross multiply
    2,094.12x = 3,142.62 × 1,547.70
  4. Step 4: Simplify right side
    2,094.12x = 4,863,832.97
  5. Step 5: Solve for x
    x = 4,863,832.97/2,094.12
  6. Step 6: Final answer
    x = 2,322.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.