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Finding the Fourth Proportional to 2,065.90, 3,100.80 and 1,283.53

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Solution

The fourth proportional to 2,065.90, 3,100.80 and 1,283.53 is: 1,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.90 : 3,100.80 = 1,283.53 : x
  2. Step 2: Convert to fraction form
    2,065.90/3,100.80 = 1,283.53/x
  3. Step 3: Cross multiply
    2,065.90x = 3,100.80 × 1,283.53
  4. Step 4: Simplify right side
    2,065.90x = 3,979,969.82
  5. Step 5: Solve for x
    x = 3,979,969.82/2,065.90
  6. Step 6: Final answer
    x = 1,926.51

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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.