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Finding the Fourth Proportional to 3,116.56, 4,673.52 and 1,384

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Solution

The fourth proportional to 3,116.56, 4,673.52 and 1,384 is: 2,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.56 : 4,673.52 = 1,384 : x
  2. Step 2: Convert to fraction form
    3,116.56/4,673.52 = 1,384/x
  3. Step 3: Cross multiply
    3,116.56x = 4,673.52 × 1,384
  4. Step 4: Simplify right side
    3,116.56x = 6,468,151.68
  5. Step 5: Solve for x
    x = 6,468,151.68/3,116.56
  6. Step 6: Final answer
    x = 2,075.41

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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.