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Finding the Fourth Proportional to 2,170.35, 3,254.70 and 1,713.51

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Solution

The fourth proportional to 2,170.35, 3,254.70 and 1,713.51 is: 2,569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.35 : 3,254.70 = 1,713.51 : x
  2. Step 2: Convert to fraction form
    2,170.35/3,254.70 = 1,713.51/x
  3. Step 3: Cross multiply
    2,170.35x = 3,254.70 × 1,713.51
  4. Step 4: Simplify right side
    2,170.35x = 5,576,961.00
  5. Step 5: Solve for x
    x = 5,576,961.00/2,170.35
  6. Step 6: Final answer
    x = 2,569.61

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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.