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Finding the Fourth Proportional to 2,256.36, 3,384.09 and 869.67

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Solution

The fourth proportional to 2,256.36, 3,384.09 and 869.67 is: 1,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.36 : 3,384.09 = 869.67 : x
  2. Step 2: Convert to fraction form
    2,256.36/3,384.09 = 869.67/x
  3. Step 3: Cross multiply
    2,256.36x = 3,384.09 × 869.67
  4. Step 4: Simplify right side
    2,256.36x = 2,943,041.55
  5. Step 5: Solve for x
    x = 2,943,041.55/2,256.36
  6. Step 6: Final answer
    x = 1,304.33

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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.