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Finding the Fourth Proportional to 1,763.71, 2,646.38 and 776.41

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Solution

The fourth proportional to 1,763.71, 2,646.38 and 776.41 is: 1,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.71 : 2,646.38 = 776.41 : x
  2. Step 2: Convert to fraction form
    1,763.71/2,646.38 = 776.41/x
  3. Step 3: Cross multiply
    1,763.71x = 2,646.38 × 776.41
  4. Step 4: Simplify right side
    1,763.71x = 2,054,671.22
  5. Step 5: Solve for x
    x = 2,054,671.22/1,763.71
  6. Step 6: Final answer
    x = 1,164.97

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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.