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Finding the Fourth Proportional to 1,761.84, 2,641.14 and 940.68

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Solution

The fourth proportional to 1,761.84, 2,641.14 and 940.68 is: 1,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.84 : 2,641.14 = 940.68 : x
  2. Step 2: Convert to fraction form
    1,761.84/2,641.14 = 940.68/x
  3. Step 3: Cross multiply
    1,761.84x = 2,641.14 × 940.68
  4. Step 4: Simplify right side
    1,761.84x = 2,484,467.58
  5. Step 5: Solve for x
    x = 2,484,467.58/1,761.84
  6. Step 6: Final answer
    x = 1,410.16

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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.