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Finding the Fourth Proportional to 6,061.41, 9,090.90 and 1,678.77

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Solution

The fourth proportional to 6,061.41, 9,090.90 and 1,678.77 is: 2,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.41 : 9,090.90 = 1,678.77 : x
  2. Step 2: Convert to fraction form
    6,061.41/9,090.90 = 1,678.77/x
  3. Step 3: Cross multiply
    6,061.41x = 9,090.90 × 1,678.77
  4. Step 4: Simplify right side
    6,061.41x = 15,261,530.19
  5. Step 5: Solve for x
    x = 15,261,530.19/6,061.41
  6. Step 6: Final answer
    x = 2,517.82

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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.