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Finding the Fourth Proportional to 2,643.01, 3,962.55 and 1,603.24

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Solution

The fourth proportional to 2,643.01, 3,962.55 and 1,603.24 is: 2,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.01 : 3,962.55 = 1,603.24 : x
  2. Step 2: Convert to fraction form
    2,643.01/3,962.55 = 1,603.24/x
  3. Step 3: Cross multiply
    2,643.01x = 3,962.55 × 1,603.24
  4. Step 4: Simplify right side
    2,643.01x = 6,352,918.66
  5. Step 5: Solve for x
    x = 6,352,918.66/2,643.01
  6. Step 6: Final answer
    x = 2,403.67

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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.