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Finding the Fourth Proportional to 2,101.89, 3,135.65 and 1,952.73

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Solution

The fourth proportional to 2,101.89, 3,135.65 and 1,952.73 is: 2,913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.89 : 3,135.65 = 1,952.73 : x
  2. Step 2: Convert to fraction form
    2,101.89/3,135.65 = 1,952.73/x
  3. Step 3: Cross multiply
    2,101.89x = 3,135.65 × 1,952.73
  4. Step 4: Simplify right side
    2,101.89x = 6,123,068.06
  5. Step 5: Solve for x
    x = 6,123,068.06/2,101.89
  6. Step 6: Final answer
    x = 2,913.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.