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Finding the Fourth Proportional to 3,004.86, 4,146.78 and 1,678.66

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Solution

The fourth proportional to 3,004.86, 4,146.78 and 1,678.66 is: 2,316.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.86 : 4,146.78 = 1,678.66 : x
  2. Step 2: Convert to fraction form
    3,004.86/4,146.78 = 1,678.66/x
  3. Step 3: Cross multiply
    3,004.86x = 4,146.78 × 1,678.66
  4. Step 4: Simplify right side
    3,004.86x = 6,961,033.71
  5. Step 5: Solve for x
    x = 6,961,033.71/3,004.86
  6. Step 6: Final answer
    x = 2,316.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.