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Finding the Fourth Proportional to 2,155.10, 3,232.53 and 694.13

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Solution

The fourth proportional to 2,155.10, 3,232.53 and 694.13 is: 1,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.10 : 3,232.53 = 694.13 : x
  2. Step 2: Convert to fraction form
    2,155.10/3,232.53 = 694.13/x
  3. Step 3: Cross multiply
    2,155.10x = 3,232.53 × 694.13
  4. Step 4: Simplify right side
    2,155.10x = 2,243,796.05
  5. Step 5: Solve for x
    x = 2,243,796.05/2,155.10
  6. Step 6: Final answer
    x = 1,041.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.