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Finding the Fourth Proportional to 2,270.70, 3,406.35 and 710.82

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Solution

The fourth proportional to 2,270.70, 3,406.35 and 710.82 is: 1,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.70 : 3,406.35 = 710.82 : x
  2. Step 2: Convert to fraction form
    2,270.70/3,406.35 = 710.82/x
  3. Step 3: Cross multiply
    2,270.70x = 3,406.35 × 710.82
  4. Step 4: Simplify right side
    2,270.70x = 2,421,301.71
  5. Step 5: Solve for x
    x = 2,421,301.71/2,270.70
  6. Step 6: Final answer
    x = 1,066.32

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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.