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Finding the Fourth Proportional to 3,004.64, 4,146.42 and 1,678.40

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Solution

The fourth proportional to 3,004.64, 4,146.42 and 1,678.40 is: 2,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.64 : 4,146.42 = 1,678.40 : x
  2. Step 2: Convert to fraction form
    3,004.64/4,146.42 = 1,678.40/x
  3. Step 3: Cross multiply
    3,004.64x = 4,146.42 × 1,678.40
  4. Step 4: Simplify right side
    3,004.64x = 6,959,375.76
  5. Step 5: Solve for x
    x = 6,959,375.76/3,004.64
  6. Step 6: Final answer
    x = 2,316.21

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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.