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Finding the Fourth Proportional to 1,202.15, 1,803.23 and 1,113.05

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Solution

The fourth proportional to 1,202.15, 1,803.23 and 1,113.05 is: 1,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.15 : 1,803.23 = 1,113.05 : x
  2. Step 2: Convert to fraction form
    1,202.15/1,803.23 = 1,113.05/x
  3. Step 3: Cross multiply
    1,202.15x = 1,803.23 × 1,113.05
  4. Step 4: Simplify right side
    1,202.15x = 2,007,079.59
  5. Step 5: Solve for x
    x = 2,007,079.59/1,202.15
  6. Step 6: Final answer
    x = 1,669.58

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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.