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Finding the Fourth Proportional to 2,966.52, 4,450.50 and 1,018.80

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Solution

The fourth proportional to 2,966.52, 4,450.50 and 1,018.80 is: 1,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.52 : 4,450.50 = 1,018.80 : x
  2. Step 2: Convert to fraction form
    2,966.52/4,450.50 = 1,018.80/x
  3. Step 3: Cross multiply
    2,966.52x = 4,450.50 × 1,018.80
  4. Step 4: Simplify right side
    2,966.52x = 4,534,169.40
  5. Step 5: Solve for x
    x = 4,534,169.40/2,966.52
  6. Step 6: Final answer
    x = 1,528.45

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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.