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Finding the Fourth Proportional to 2,170.65, 3,254.61 and 1,429.46

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Solution

The fourth proportional to 2,170.65, 3,254.61 and 1,429.46 is: 2,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.65 : 3,254.61 = 1,429.46 : x
  2. Step 2: Convert to fraction form
    2,170.65/3,254.61 = 1,429.46/x
  3. Step 3: Cross multiply
    2,170.65x = 3,254.61 × 1,429.46
  4. Step 4: Simplify right side
    2,170.65x = 4,652,346.37
  5. Step 5: Solve for x
    x = 4,652,346.37/2,170.65
  6. Step 6: Final answer
    x = 2,143.30

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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.