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Finding the Fourth Proportional to 2,271.27, 3,405.67 and 710.60

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Solution

The fourth proportional to 2,271.27, 3,405.67 and 710.60 is: 1,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.27 : 3,405.67 = 710.60 : x
  2. Step 2: Convert to fraction form
    2,271.27/3,405.67 = 710.60/x
  3. Step 3: Cross multiply
    2,271.27x = 3,405.67 × 710.60
  4. Step 4: Simplify right side
    2,271.27x = 2,420,069.10
  5. Step 5: Solve for x
    x = 2,420,069.10/2,271.27
  6. Step 6: Final answer
    x = 1,065.51

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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.