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Finding the Fourth Proportional to 2,140.46, 3,210.80 and 679.73

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Solution

The fourth proportional to 2,140.46, 3,210.80 and 679.73 is: 1,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.46 : 3,210.80 = 679.73 : x
  2. Step 2: Convert to fraction form
    2,140.46/3,210.80 = 679.73/x
  3. Step 3: Cross multiply
    2,140.46x = 3,210.80 × 679.73
  4. Step 4: Simplify right side
    2,140.46x = 2,182,457.63
  5. Step 5: Solve for x
    x = 2,182,457.63/2,140.46
  6. Step 6: Final answer
    x = 1,019.62

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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.