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Finding the Fourth Proportional to 3,004.47, 4,146.12 and 1,678.19

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Solution

The fourth proportional to 3,004.47, 4,146.12 and 1,678.19 is: 2,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.47 : 4,146.12 = 1,678.19 : x
  2. Step 2: Convert to fraction form
    3,004.47/4,146.12 = 1,678.19/x
  3. Step 3: Cross multiply
    3,004.47x = 4,146.12 × 1,678.19
  4. Step 4: Simplify right side
    3,004.47x = 6,957,956.39
  5. Step 5: Solve for x
    x = 6,957,956.39/3,004.47
  6. Step 6: Final answer
    x = 2,315.87

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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.