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Finding the Fourth Proportional to 2,263.46, 3,393.57 and 964.22

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Solution

The fourth proportional to 2,263.46, 3,393.57 and 964.22 is: 1,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.46 : 3,393.57 = 964.22 : x
  2. Step 2: Convert to fraction form
    2,263.46/3,393.57 = 964.22/x
  3. Step 3: Cross multiply
    2,263.46x = 3,393.57 × 964.22
  4. Step 4: Simplify right side
    2,263.46x = 3,272,148.07
  5. Step 5: Solve for x
    x = 3,272,148.07/2,263.46
  6. Step 6: Final answer
    x = 1,445.64

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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.