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Finding the Fourth Proportional to 1,841.65, 2,762.40 and 801.64

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Solution

The fourth proportional to 1,841.65, 2,762.40 and 801.64 is: 1,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.65 : 2,762.40 = 801.64 : x
  2. Step 2: Convert to fraction form
    1,841.65/2,762.40 = 801.64/x
  3. Step 3: Cross multiply
    1,841.65x = 2,762.40 × 801.64
  4. Step 4: Simplify right side
    1,841.65x = 2,214,458.52
  5. Step 5: Solve for x
    x = 2,214,458.52/1,841.65
  6. Step 6: Final answer
    x = 1,202.43

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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.