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Finding the Fourth Proportional to 2,270.12, 3,405.22 and 710.06

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Solution

The fourth proportional to 2,270.12, 3,405.22 and 710.06 is: 1,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.12 : 3,405.22 = 710.06 : x
  2. Step 2: Convert to fraction form
    2,270.12/3,405.22 = 710.06/x
  3. Step 3: Cross multiply
    2,270.12x = 3,405.22 × 710.06
  4. Step 4: Simplify right side
    2,270.12x = 2,417,891.71
  5. Step 5: Solve for x
    x = 2,417,891.71/2,270.12
  6. Step 6: Final answer
    x = 1,065.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.