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Finding the Fourth Proportional to 2,731.38, 4,097.09 and 976.45

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Solution

The fourth proportional to 2,731.38, 4,097.09 and 976.45 is: 1,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.38 : 4,097.09 = 976.45 : x
  2. Step 2: Convert to fraction form
    2,731.38/4,097.09 = 976.45/x
  3. Step 3: Cross multiply
    2,731.38x = 4,097.09 × 976.45
  4. Step 4: Simplify right side
    2,731.38x = 4,000,603.53
  5. Step 5: Solve for x
    x = 4,000,603.53/2,731.38
  6. Step 6: Final answer
    x = 1,464.68

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1.5x scale

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.