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Finding the Fourth Proportional to 3,094.39, 4,270.15 and 1,678.06

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Solution

The fourth proportional to 3,094.39, 4,270.15 and 1,678.06 is: 2,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.39 : 4,270.15 = 1,678.06 : x
  2. Step 2: Convert to fraction form
    3,094.39/4,270.15 = 1,678.06/x
  3. Step 3: Cross multiply
    3,094.39x = 4,270.15 × 1,678.06
  4. Step 4: Simplify right side
    3,094.39x = 7,165,541.89
  5. Step 5: Solve for x
    x = 7,165,541.89/3,094.39
  6. Step 6: Final answer
    x = 2,315.65

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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.