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Finding the Fourth Proportional to 3,801.06, 5,700.51 and 1,460.90

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Solution

The fourth proportional to 3,801.06, 5,700.51 and 1,460.90 is: 2,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.06 : 5,700.51 = 1,460.90 : x
  2. Step 2: Convert to fraction form
    3,801.06/5,700.51 = 1,460.90/x
  3. Step 3: Cross multiply
    3,801.06x = 5,700.51 × 1,460.90
  4. Step 4: Simplify right side
    3,801.06x = 8,327,889.31
  5. Step 5: Solve for x
    x = 8,327,889.31/3,801.06
  6. Step 6: Final answer
    x = 2,190.94

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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.