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Finding the Fourth Proportional to 3,303.34, 4,953.86 and 962.70

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Solution

The fourth proportional to 3,303.34, 4,953.86 and 962.70 is: 1,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.34 : 4,953.86 = 962.70 : x
  2. Step 2: Convert to fraction form
    3,303.34/4,953.86 = 962.70/x
  3. Step 3: Cross multiply
    3,303.34x = 4,953.86 × 962.70
  4. Step 4: Simplify right side
    3,303.34x = 4,769,081.02
  5. Step 5: Solve for x
    x = 4,769,081.02/3,303.34
  6. Step 6: Final answer
    x = 1,443.71

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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.