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Finding the Fourth Proportional to 2,953.46, 4,073.64 and 2,743.22

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Solution

The fourth proportional to 2,953.46, 4,073.64 and 2,743.22 is: 3,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.46 : 4,073.64 = 2,743.22 : x
  2. Step 2: Convert to fraction form
    2,953.46/4,073.64 = 2,743.22/x
  3. Step 3: Cross multiply
    2,953.46x = 4,073.64 × 2,743.22
  4. Step 4: Simplify right side
    2,953.46x = 11,174,890.72
  5. Step 5: Solve for x
    x = 11,174,890.72/2,953.46
  6. Step 6: Final answer
    x = 3,783.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.