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Finding the Fourth Proportional to 2,020.90, 3,008.98 and 1,900.66

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Solution

The fourth proportional to 2,020.90, 3,008.98 and 1,900.66 is: 2,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.90 : 3,008.98 = 1,900.66 : x
  2. Step 2: Convert to fraction form
    2,020.90/3,008.98 = 1,900.66/x
  3. Step 3: Cross multiply
    2,020.90x = 3,008.98 × 1,900.66
  4. Step 4: Simplify right side
    2,020.90x = 5,719,047.93
  5. Step 5: Solve for x
    x = 5,719,047.93/2,020.90
  6. Step 6: Final answer
    x = 2,829.95

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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.