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Finding the Fourth Proportional to 3,027.52, 4,541.92 and 976.96

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Solution

The fourth proportional to 3,027.52, 4,541.92 and 976.96 is: 1,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.52 : 4,541.92 = 976.96 : x
  2. Step 2: Convert to fraction form
    3,027.52/4,541.92 = 976.96/x
  3. Step 3: Cross multiply
    3,027.52x = 4,541.92 × 976.96
  4. Step 4: Simplify right side
    3,027.52x = 4,437,274.16
  5. Step 5: Solve for x
    x = 4,437,274.16/3,027.52
  6. Step 6: Final answer
    x = 1,465.65

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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.