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Finding the Fourth Proportional to 2,140.01, 2,953.01 and 1,255.64

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Solution

The fourth proportional to 2,140.01, 2,953.01 and 1,255.64 is: 1,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.01 : 2,953.01 = 1,255.64 : x
  2. Step 2: Convert to fraction form
    2,140.01/2,953.01 = 1,255.64/x
  3. Step 3: Cross multiply
    2,140.01x = 2,953.01 × 1,255.64
  4. Step 4: Simplify right side
    2,140.01x = 3,707,896.43
  5. Step 5: Solve for x
    x = 3,707,896.43/2,140.01
  6. Step 6: Final answer
    x = 1,732.66

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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.