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Finding the Fourth Proportional to 3,303.08, 4,953.78 and 963.08

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Solution

The fourth proportional to 3,303.08, 4,953.78 and 963.08 is: 1,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.08 : 4,953.78 = 963.08 : x
  2. Step 2: Convert to fraction form
    3,303.08/4,953.78 = 963.08/x
  3. Step 3: Cross multiply
    3,303.08x = 4,953.78 × 963.08
  4. Step 4: Simplify right side
    3,303.08x = 4,770,886.44
  5. Step 5: Solve for x
    x = 4,770,886.44/3,303.08
  6. Step 6: Final answer
    x = 1,444.38

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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.