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Finding the Fourth Proportional to 2,102.60, 2,901.23 and 1,218.23

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Solution

The fourth proportional to 2,102.60, 2,901.23 and 1,218.23 is: 1,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.60 : 2,901.23 = 1,218.23 : x
  2. Step 2: Convert to fraction form
    2,102.60/2,901.23 = 1,218.23/x
  3. Step 3: Cross multiply
    2,102.60x = 2,901.23 × 1,218.23
  4. Step 4: Simplify right side
    2,102.60x = 3,534,365.42
  5. Step 5: Solve for x
    x = 3,534,365.42/2,102.60
  6. Step 6: Final answer
    x = 1,680.95

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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.