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Finding the Fourth Proportional to 2,972.72, 4,460.98 and 2,094.68

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Solution

The fourth proportional to 2,972.72, 4,460.98 and 2,094.68 is: 3,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.72 : 4,460.98 = 2,094.68 : x
  2. Step 2: Convert to fraction form
    2,972.72/4,460.98 = 2,094.68/x
  3. Step 3: Cross multiply
    2,972.72x = 4,460.98 × 2,094.68
  4. Step 4: Simplify right side
    2,972.72x = 9,344,325.59
  5. Step 5: Solve for x
    x = 9,344,325.59/2,972.72
  6. Step 6: Final answer
    x = 3,143.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.