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Finding the Fourth Proportional to 2,143.89, 3,210.80 and 1,044.81

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Solution

The fourth proportional to 2,143.89, 3,210.80 and 1,044.81 is: 1,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.89 : 3,210.80 = 1,044.81 : x
  2. Step 2: Convert to fraction form
    2,143.89/3,210.80 = 1,044.81/x
  3. Step 3: Cross multiply
    2,143.89x = 3,210.80 × 1,044.81
  4. Step 4: Simplify right side
    2,143.89x = 3,354,670.72
  5. Step 5: Solve for x
    x = 3,354,670.72/2,143.89
  6. Step 6: Final answer
    x = 1,564.76

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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.