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Finding the Fourth Proportional to 2,277.40, 3,415.96 and 890.48

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Solution

The fourth proportional to 2,277.40, 3,415.96 and 890.48 is: 1,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.40 : 3,415.96 = 890.48 : x
  2. Step 2: Convert to fraction form
    2,277.40/3,415.96 = 890.48/x
  3. Step 3: Cross multiply
    2,277.40x = 3,415.96 × 890.48
  4. Step 4: Simplify right side
    2,277.40x = 3,041,844.06
  5. Step 5: Solve for x
    x = 3,041,844.06/2,277.40
  6. Step 6: Final answer
    x = 1,335.67

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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.