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Finding the Fourth Proportional to 2,732.01, 4,097.01 and 976.54

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Solution

The fourth proportional to 2,732.01, 4,097.01 and 976.54 is: 1,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.01 : 4,097.01 = 976.54 : x
  2. Step 2: Convert to fraction form
    2,732.01/4,097.01 = 976.54/x
  3. Step 3: Cross multiply
    2,732.01x = 4,097.01 × 976.54
  4. Step 4: Simplify right side
    2,732.01x = 4,000,889.02
  5. Step 5: Solve for x
    x = 4,000,889.02/2,732.01
  6. Step 6: Final answer
    x = 1,464.45

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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.