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Finding the Fourth Proportional to 2,435.58, 3,653.21 and 1,202.66

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Solution

The fourth proportional to 2,435.58, 3,653.21 and 1,202.66 is: 1,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.58 : 3,653.21 = 1,202.66 : x
  2. Step 2: Convert to fraction form
    2,435.58/3,653.21 = 1,202.66/x
  3. Step 3: Cross multiply
    2,435.58x = 3,653.21 × 1,202.66
  4. Step 4: Simplify right side
    2,435.58x = 4,393,551.27
  5. Step 5: Solve for x
    x = 4,393,551.27/2,435.58
  6. Step 6: Final answer
    x = 1,803.91

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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.