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Finding the Fourth Proportional to 2,083.58, 3,126.90 and 987.94

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Solution

The fourth proportional to 2,083.58, 3,126.90 and 987.94 is: 1,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.58 : 3,126.90 = 987.94 : x
  2. Step 2: Convert to fraction form
    2,083.58/3,126.90 = 987.94/x
  3. Step 3: Cross multiply
    2,083.58x = 3,126.90 × 987.94
  4. Step 4: Simplify right side
    2,083.58x = 3,089,181.77
  5. Step 5: Solve for x
    x = 3,089,181.77/2,083.58
  6. Step 6: Final answer
    x = 1,482.63

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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.