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Finding the Fourth Proportional to 1,841.47, 2,762.66 and 867.35

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Solution

The fourth proportional to 1,841.47, 2,762.66 and 867.35 is: 1,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.47 : 2,762.66 = 867.35 : x
  2. Step 2: Convert to fraction form
    1,841.47/2,762.66 = 867.35/x
  3. Step 3: Cross multiply
    1,841.47x = 2,762.66 × 867.35
  4. Step 4: Simplify right side
    1,841.47x = 2,396,179.34
  5. Step 5: Solve for x
    x = 2,396,179.34/1,841.47
  6. Step 6: Final answer
    x = 1,301.23

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