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Finding the Fourth Proportional to 2,140.01, 3,210.45 and 823.76

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Solution

The fourth proportional to 2,140.01, 3,210.45 and 823.76 is: 1,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.01 : 3,210.45 = 823.76 : x
  2. Step 2: Convert to fraction form
    2,140.01/3,210.45 = 823.76/x
  3. Step 3: Cross multiply
    2,140.01x = 3,210.45 × 823.76
  4. Step 4: Simplify right side
    2,140.01x = 2,644,640.29
  5. Step 5: Solve for x
    x = 2,644,640.29/2,140.01
  6. Step 6: Final answer
    x = 1,235.81

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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.