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Finding the Fourth Proportional to 2,700.71, 4,051.02 and 1,475.93

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Solution

The fourth proportional to 2,700.71, 4,051.02 and 1,475.93 is: 2,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.71 : 4,051.02 = 1,475.93 : x
  2. Step 2: Convert to fraction form
    2,700.71/4,051.02 = 1,475.93/x
  3. Step 3: Cross multiply
    2,700.71x = 4,051.02 × 1,475.93
  4. Step 4: Simplify right side
    2,700.71x = 5,979,021.95
  5. Step 5: Solve for x
    x = 5,979,021.95/2,700.71
  6. Step 6: Final answer
    x = 2,213.87

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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.