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Finding the Fourth Proportional to 2,401.16, 3,603.20 and 940.32

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Solution

The fourth proportional to 2,401.16, 3,603.20 and 940.32 is: 1,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.16 : 3,603.20 = 940.32 : x
  2. Step 2: Convert to fraction form
    2,401.16/3,603.20 = 940.32/x
  3. Step 3: Cross multiply
    2,401.16x = 3,603.20 × 940.32
  4. Step 4: Simplify right side
    2,401.16x = 3,388,156.32
  5. Step 5: Solve for x
    x = 3,388,156.32/2,401.16
  6. Step 6: Final answer
    x = 1,411.05

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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.