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Finding the Fourth Proportional to 2,690.84, 3,713.76 and 2,122.37

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Solution

The fourth proportional to 2,690.84, 3,713.76 and 2,122.37 is: 2,929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.84 : 3,713.76 = 2,122.37 : x
  2. Step 2: Convert to fraction form
    2,690.84/3,713.76 = 2,122.37/x
  3. Step 3: Cross multiply
    2,690.84x = 3,713.76 × 2,122.37
  4. Step 4: Simplify right side
    2,690.84x = 7,881,972.81
  5. Step 5: Solve for x
    x = 7,881,972.81/2,690.84
  6. Step 6: Final answer
    x = 2,929.19

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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.