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Finding the Fourth Proportional to 2,270.16, 3,404.77 and 709.95

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Solution

The fourth proportional to 2,270.16, 3,404.77 and 709.95 is: 1,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.16 : 3,404.77 = 709.95 : x
  2. Step 2: Convert to fraction form
    2,270.16/3,404.77 = 709.95/x
  3. Step 3: Cross multiply
    2,270.16x = 3,404.77 × 709.95
  4. Step 4: Simplify right side
    2,270.16x = 2,417,216.46
  5. Step 5: Solve for x
    x = 2,417,216.46/2,270.16
  6. Step 6: Final answer
    x = 1,064.78

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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.