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Finding the Fourth Proportional to 3,303.53, 4,954.50 and 962.90

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Solution

The fourth proportional to 3,303.53, 4,954.50 and 962.90 is: 1,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.53 : 4,954.50 = 962.90 : x
  2. Step 2: Convert to fraction form
    3,303.53/4,954.50 = 962.90/x
  3. Step 3: Cross multiply
    3,303.53x = 4,954.50 × 962.90
  4. Step 4: Simplify right side
    3,303.53x = 4,770,688.05
  5. Step 5: Solve for x
    x = 4,770,688.05/3,303.53
  6. Step 6: Final answer
    x = 1,444.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.