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Finding the Fourth Proportional to 1,837.04, 2,756.01 and 862

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Solution

The fourth proportional to 1,837.04, 2,756.01 and 862 is: 1,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.04 : 2,756.01 = 862 : x
  2. Step 2: Convert to fraction form
    1,837.04/2,756.01 = 862/x
  3. Step 3: Cross multiply
    1,837.04x = 2,756.01 × 862
  4. Step 4: Simplify right side
    1,837.04x = 2,375,680.62
  5. Step 5: Solve for x
    x = 2,375,680.62/1,837.04
  6. Step 6: Final answer
    x = 1,293.21

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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.