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Finding the Fourth Proportional to 2,458.55, 3,686.46 and 996.00

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Solution

The fourth proportional to 2,458.55, 3,686.46 and 996.00 is: 1,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.55 : 3,686.46 = 996.00 : x
  2. Step 2: Convert to fraction form
    2,458.55/3,686.46 = 996.00/x
  3. Step 3: Cross multiply
    2,458.55x = 3,686.46 × 996.00
  4. Step 4: Simplify right side
    2,458.55x = 3,671,702.20
  5. Step 5: Solve for x
    x = 3,671,702.20/2,458.55
  6. Step 6: Final answer
    x = 1,493.44

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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.