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Finding the Fourth Proportional to 2,506.68, 3,454.20 and 1,666.44

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Solution

The fourth proportional to 2,506.68, 3,454.20 and 1,666.44 is: 2,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.68 : 3,454.20 = 1,666.44 : x
  2. Step 2: Convert to fraction form
    2,506.68/3,454.20 = 1,666.44/x
  3. Step 3: Cross multiply
    2,506.68x = 3,454.20 × 1,666.44
  4. Step 4: Simplify right side
    2,506.68x = 5,756,217.05
  5. Step 5: Solve for x
    x = 5,756,217.05/2,506.68
  6. Step 6: Final answer
    x = 2,296.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.