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Finding the Fourth Proportional to 2,454.26, 3,681.37 and 993.39

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Solution

The fourth proportional to 2,454.26, 3,681.37 and 993.39 is: 1,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.26 : 3,681.37 = 993.39 : x
  2. Step 2: Convert to fraction form
    2,454.26/3,681.37 = 993.39/x
  3. Step 3: Cross multiply
    2,454.26x = 3,681.37 × 993.39
  4. Step 4: Simplify right side
    2,454.26x = 3,657,037.39
  5. Step 5: Solve for x
    x = 3,657,037.39/2,454.26
  6. Step 6: Final answer
    x = 1,490.08

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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.