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Finding the Fourth Proportional to 1,464.94, 2,201.93 and 981.10

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Solution

The fourth proportional to 1,464.94, 2,201.93 and 981.10 is: 1,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.94 : 2,201.93 = 981.10 : x
  2. Step 2: Convert to fraction form
    1,464.94/2,201.93 = 981.10/x
  3. Step 3: Cross multiply
    1,464.94x = 2,201.93 × 981.10
  4. Step 4: Simplify right side
    1,464.94x = 2,160,297.61
  5. Step 5: Solve for x
    x = 2,160,297.61/1,464.94
  6. Step 6: Final answer
    x = 1,474.67

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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.