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Finding the Fourth Proportional to 2,402.25, 3,603.21 and 1,477.95

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Solution

The fourth proportional to 2,402.25, 3,603.21 and 1,477.95 is: 2,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.25 : 3,603.21 = 1,477.95 : x
  2. Step 2: Convert to fraction form
    2,402.25/3,603.21 = 1,477.95/x
  3. Step 3: Cross multiply
    2,402.25x = 3,603.21 × 1,477.95
  4. Step 4: Simplify right side
    2,402.25x = 5,325,364.22
  5. Step 5: Solve for x
    x = 5,325,364.22/2,402.25
  6. Step 6: Final answer
    x = 2,216.82

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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.