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Finding the Fourth Proportional to 2,374.25, 3,560.00 and 986.00

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Solution

The fourth proportional to 2,374.25, 3,560.00 and 986.00 is: 1,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.25 : 3,560.00 = 986.00 : x
  2. Step 2: Convert to fraction form
    2,374.25/3,560.00 = 986.00/x
  3. Step 3: Cross multiply
    2,374.25x = 3,560.00 × 986.00
  4. Step 4: Simplify right side
    2,374.25x = 3,510,137.27
  5. Step 5: Solve for x
    x = 3,510,137.27/2,374.25
  6. Step 6: Final answer
    x = 1,478.42

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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.