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Finding the Fourth Proportional to 2,270.70, 3,133.69 and 1,710.15

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Solution

The fourth proportional to 2,270.70, 3,133.69 and 1,710.15 is: 2,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.70 : 3,133.69 = 1,710.15 : x
  2. Step 2: Convert to fraction form
    2,270.70/3,133.69 = 1,710.15/x
  3. Step 3: Cross multiply
    2,270.70x = 3,133.69 × 1,710.15
  4. Step 4: Simplify right side
    2,270.70x = 5,359,063.93
  5. Step 5: Solve for x
    x = 5,359,063.93/2,270.70
  6. Step 6: Final answer
    x = 2,360.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.