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Finding the Fourth Proportional to 2,271.74, 3,407.58 and 711.75

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Solution

The fourth proportional to 2,271.74, 3,407.58 and 711.75 is: 1,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.74 : 3,407.58 = 711.75 : x
  2. Step 2: Convert to fraction form
    2,271.74/3,407.58 = 711.75/x
  3. Step 3: Cross multiply
    2,271.74x = 3,407.58 × 711.75
  4. Step 4: Simplify right side
    2,271.74x = 2,425,345.07
  5. Step 5: Solve for x
    x = 2,425,345.07/2,271.74
  6. Step 6: Final answer
    x = 1,067.62

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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.