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Finding the Fourth Proportional to 2,048.35, 3,071.87 and 661.39

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Solution

The fourth proportional to 2,048.35, 3,071.87 and 661.39 is: 991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.35 : 3,071.87 = 661.39 : x
  2. Step 2: Convert to fraction form
    2,048.35/3,071.87 = 661.39/x
  3. Step 3: Cross multiply
    2,048.35x = 3,071.87 × 661.39
  4. Step 4: Simplify right side
    2,048.35x = 2,031,693.11
  5. Step 5: Solve for x
    x = 2,031,693.11/2,048.35
  6. Step 6: Final answer
    x = 991.87

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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.