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Finding the Fourth Proportional to 2,270.84, 3,406.72 and 710.78

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Solution

The fourth proportional to 2,270.84, 3,406.72 and 710.78 is: 1,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.84 : 3,406.72 = 710.78 : x
  2. Step 2: Convert to fraction form
    2,270.84/3,406.72 = 710.78/x
  3. Step 3: Cross multiply
    2,270.84x = 3,406.72 × 710.78
  4. Step 4: Simplify right side
    2,270.84x = 2,421,428.44
  5. Step 5: Solve for x
    x = 2,421,428.44/2,270.84
  6. Step 6: Final answer
    x = 1,066.31

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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.