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Finding the Fourth Proportional to 2,030.13, 3,044.39 and 713.34

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Solution

The fourth proportional to 2,030.13, 3,044.39 and 713.34 is: 1,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.13 : 3,044.39 = 713.34 : x
  2. Step 2: Convert to fraction form
    2,030.13/3,044.39 = 713.34/x
  3. Step 3: Cross multiply
    2,030.13x = 3,044.39 × 713.34
  4. Step 4: Simplify right side
    2,030.13x = 2,171,681.60
  5. Step 5: Solve for x
    x = 2,171,681.60/2,030.13
  6. Step 6: Final answer
    x = 1,069.73

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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.