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Finding the Fourth Proportional to 2,204.76, 3,042.51 and 1,210.03

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Solution

The fourth proportional to 2,204.76, 3,042.51 and 1,210.03 is: 1,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.76 : 3,042.51 = 1,210.03 : x
  2. Step 2: Convert to fraction form
    2,204.76/3,042.51 = 1,210.03/x
  3. Step 3: Cross multiply
    2,204.76x = 3,042.51 × 1,210.03
  4. Step 4: Simplify right side
    2,204.76x = 3,681,528.38
  5. Step 5: Solve for x
    x = 3,681,528.38/2,204.76
  6. Step 6: Final answer
    x = 1,669.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.