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Finding the Fourth Proportional to 2,155.02, 3,233.08 and 694.32

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Solution

The fourth proportional to 2,155.02, 3,233.08 and 694.32 is: 1,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.02 : 3,233.08 = 694.32 : x
  2. Step 2: Convert to fraction form
    2,155.02/3,233.08 = 694.32/x
  3. Step 3: Cross multiply
    2,155.02x = 3,233.08 × 694.32
  4. Step 4: Simplify right side
    2,155.02x = 2,244,792.11
  5. Step 5: Solve for x
    x = 2,244,792.11/2,155.02
  6. Step 6: Final answer
    x = 1,041.66

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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.