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Finding the Fourth Proportional to 2,060.96, 3,088.67 and 962.96

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Solution

The fourth proportional to 2,060.96, 3,088.67 and 962.96 is: 1,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.96 : 3,088.67 = 962.96 : x
  2. Step 2: Convert to fraction form
    2,060.96/3,088.67 = 962.96/x
  3. Step 3: Cross multiply
    2,060.96x = 3,088.67 × 962.96
  4. Step 4: Simplify right side
    2,060.96x = 2,974,245.41
  5. Step 5: Solve for x
    x = 2,974,245.41/2,060.96
  6. Step 6: Final answer
    x = 1,443.14

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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.