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Finding the Fourth Proportional to 3,094.66, 4,270.62 and 1,678.35

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Solution

The fourth proportional to 3,094.66, 4,270.62 and 1,678.35 is: 2,316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.66 : 4,270.62 = 1,678.35 : x
  2. Step 2: Convert to fraction form
    3,094.66/4,270.62 = 1,678.35/x
  3. Step 3: Cross multiply
    3,094.66x = 4,270.62 × 1,678.35
  4. Step 4: Simplify right side
    3,094.66x = 7,167,595.08
  5. Step 5: Solve for x
    x = 7,167,595.08/3,094.66
  6. Step 6: Final answer
    x = 2,316.12

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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.