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Finding the Fourth Proportional to 2,010.32, 3,014.84 and 642

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Solution

The fourth proportional to 2,010.32, 3,014.84 and 642 is: 962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.32 : 3,014.84 = 642 : x
  2. Step 2: Convert to fraction form
    2,010.32/3,014.84 = 642/x
  3. Step 3: Cross multiply
    2,010.32x = 3,014.84 × 642
  4. Step 4: Simplify right side
    2,010.32x = 1,935,527.28
  5. Step 5: Solve for x
    x = 1,935,527.28/2,010.32
  6. Step 6: Final answer
    x = 962.80

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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.