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Finding the Fourth Proportional to 1,841.04, 2,760.01 and 800.26

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Solution

The fourth proportional to 1,841.04, 2,760.01 and 800.26 is: 1,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.04 : 2,760.01 = 800.26 : x
  2. Step 2: Convert to fraction form
    1,841.04/2,760.01 = 800.26/x
  3. Step 3: Cross multiply
    1,841.04x = 2,760.01 × 800.26
  4. Step 4: Simplify right side
    1,841.04x = 2,208,725.60
  5. Step 5: Solve for x
    x = 2,208,725.60/1,841.04
  6. Step 6: Final answer
    x = 1,199.72

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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.