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Finding the Fourth Proportional to 2,425.34, 3,639.83 and 1,603.32

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Solution

The fourth proportional to 2,425.34, 3,639.83 and 1,603.32 is: 2,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.34 : 3,639.83 = 1,603.32 : x
  2. Step 2: Convert to fraction form
    2,425.34/3,639.83 = 1,603.32/x
  3. Step 3: Cross multiply
    2,425.34x = 3,639.83 × 1,603.32
  4. Step 4: Simplify right side
    2,425.34x = 5,835,804.22
  5. Step 5: Solve for x
    x = 5,835,804.22/2,425.34
  6. Step 6: Final answer
    x = 2,406.18

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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.