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Finding the Fourth Proportional to 2,030.25, 3,050.24 and 1,301.25

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Solution

The fourth proportional to 2,030.25, 3,050.24 and 1,301.25 is: 1,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.25 : 3,050.24 = 1,301.25 : x
  2. Step 2: Convert to fraction form
    2,030.25/3,050.24 = 1,301.25/x
  3. Step 3: Cross multiply
    2,030.25x = 3,050.24 × 1,301.25
  4. Step 4: Simplify right side
    2,030.25x = 3,969,118.29
  5. Step 5: Solve for x
    x = 3,969,118.29/2,030.25
  6. Step 6: Final answer
    x = 1,954.99

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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.