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Finding the Fourth Proportional to 2,726.41, 4,090.35 and 778.63

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Solution

The fourth proportional to 2,726.41, 4,090.35 and 778.63 is: 1,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.41 : 4,090.35 = 778.63 : x
  2. Step 2: Convert to fraction form
    2,726.41/4,090.35 = 778.63/x
  3. Step 3: Cross multiply
    2,726.41x = 4,090.35 × 778.63
  4. Step 4: Simplify right side
    2,726.41x = 3,184,869.22
  5. Step 5: Solve for x
    x = 3,184,869.22/2,726.41
  6. Step 6: Final answer
    x = 1,168.15

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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.