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Finding the Fourth Proportional to 2,374.76, 3,563.43 and 989.06

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Solution

The fourth proportional to 2,374.76, 3,563.43 and 989.06 is: 1,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.76 : 3,563.43 = 989.06 : x
  2. Step 2: Convert to fraction form
    2,374.76/3,563.43 = 989.06/x
  3. Step 3: Cross multiply
    2,374.76x = 3,563.43 × 989.06
  4. Step 4: Simplify right side
    2,374.76x = 3,524,424.55
  5. Step 5: Solve for x
    x = 3,524,424.55/2,374.76
  6. Step 6: Final answer
    x = 1,484.12

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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.