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Finding the Fourth Proportional to 3,071.01, 4,606.71 and 962.37

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Solution

The fourth proportional to 3,071.01, 4,606.71 and 962.37 is: 1,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.01 : 4,606.71 = 962.37 : x
  2. Step 2: Convert to fraction form
    3,071.01/4,606.71 = 962.37/x
  3. Step 3: Cross multiply
    3,071.01x = 4,606.71 × 962.37
  4. Step 4: Simplify right side
    3,071.01x = 4,433,359.50
  5. Step 5: Solve for x
    x = 4,433,359.50/3,071.01
  6. Step 6: Final answer
    x = 1,443.62

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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.