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Finding the Fourth Proportional to 2,141.63, 3,210.21 and 1,044.49

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Solution

The fourth proportional to 2,141.63, 3,210.21 and 1,044.49 is: 1,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.63 : 3,210.21 = 1,044.49 : x
  2. Step 2: Convert to fraction form
    2,141.63/3,210.21 = 1,044.49/x
  3. Step 3: Cross multiply
    2,141.63x = 3,210.21 × 1,044.49
  4. Step 4: Simplify right side
    2,141.63x = 3,353,016.19
  5. Step 5: Solve for x
    x = 3,353,016.19/2,141.63
  6. Step 6: Final answer
    x = 1,565.64

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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.