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Finding the Fourth Proportional to 2,890.02, 4,335.03 and 698.73

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Solution

The fourth proportional to 2,890.02, 4,335.03 and 698.73 is: 1,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.02 : 4,335.03 = 698.73 : x
  2. Step 2: Convert to fraction form
    2,890.02/4,335.03 = 698.73/x
  3. Step 3: Cross multiply
    2,890.02x = 4,335.03 × 698.73
  4. Step 4: Simplify right side
    2,890.02x = 3,029,015.51
  5. Step 5: Solve for x
    x = 3,029,015.51/2,890.02
  6. Step 6: Final answer
    x = 1,048.10

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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.