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Finding the Fourth Proportional to 2,937.22, 4,405.33 and 962.81

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Solution

The fourth proportional to 2,937.22, 4,405.33 and 962.81 is: 1,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.22 : 4,405.33 = 962.81 : x
  2. Step 2: Convert to fraction form
    2,937.22/4,405.33 = 962.81/x
  3. Step 3: Cross multiply
    2,937.22x = 4,405.33 × 962.81
  4. Step 4: Simplify right side
    2,937.22x = 4,241,495.78
  5. Step 5: Solve for x
    x = 4,241,495.78/2,937.22
  6. Step 6: Final answer
    x = 1,444.05

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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.