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Finding the Fourth Proportional to 2,102.72, 2,901.76 and 1,218.74

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Solution

The fourth proportional to 2,102.72, 2,901.76 and 1,218.74 is: 1,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.72 : 2,901.76 = 1,218.74 : x
  2. Step 2: Convert to fraction form
    2,102.72/2,901.76 = 1,218.74/x
  3. Step 3: Cross multiply
    2,102.72x = 2,901.76 × 1,218.74
  4. Step 4: Simplify right side
    2,102.72x = 3,536,473.43
  5. Step 5: Solve for x
    x = 3,536,473.43/2,102.72
  6. Step 6: Final answer
    x = 1,681.86

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