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Finding the Fourth Proportional to 2,066.84, 3,101.57 and 1,930.15

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Solution

The fourth proportional to 2,066.84, 3,101.57 and 1,930.15 is: 2,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.84 : 3,101.57 = 1,930.15 : x
  2. Step 2: Convert to fraction form
    2,066.84/3,101.57 = 1,930.15/x
  3. Step 3: Cross multiply
    2,066.84x = 3,101.57 × 1,930.15
  4. Step 4: Simplify right side
    2,066.84x = 5,986,495.34
  5. Step 5: Solve for x
    x = 5,986,495.34/2,066.84
  6. Step 6: Final answer
    x = 2,896.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.