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Finding the Fourth Proportional to 4,048.94, 6,073.98 and 1,969.06

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Solution

The fourth proportional to 4,048.94, 6,073.98 and 1,969.06 is: 2,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.94 : 6,073.98 = 1,969.06 : x
  2. Step 2: Convert to fraction form
    4,048.94/6,073.98 = 1,969.06/x
  3. Step 3: Cross multiply
    4,048.94x = 6,073.98 × 1,969.06
  4. Step 4: Simplify right side
    4,048.94x = 11,960,031.06
  5. Step 5: Solve for x
    x = 11,960,031.06/4,048.94
  6. Step 6: Final answer
    x = 2,953.87

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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.