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Finding the Fourth Proportional to 2,866.62, 4,300.02 and 1,018.02

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Solution

The fourth proportional to 2,866.62, 4,300.02 and 1,018.02 is: 1,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.62 : 4,300.02 = 1,018.02 : x
  2. Step 2: Convert to fraction form
    2,866.62/4,300.02 = 1,018.02/x
  3. Step 3: Cross multiply
    2,866.62x = 4,300.02 × 1,018.02
  4. Step 4: Simplify right side
    2,866.62x = 4,377,506.36
  5. Step 5: Solve for x
    x = 4,377,506.36/2,866.62
  6. Step 6: Final answer
    x = 1,527.06

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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.