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Finding the Fourth Proportional to 2,960.02, 4,440.07 and 1,422.10

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Solution

The fourth proportional to 2,960.02, 4,440.07 and 1,422.10 is: 2,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.02 : 4,440.07 = 1,422.10 : x
  2. Step 2: Convert to fraction form
    2,960.02/4,440.07 = 1,422.10/x
  3. Step 3: Cross multiply
    2,960.02x = 4,440.07 × 1,422.10
  4. Step 4: Simplify right side
    2,960.02x = 6,314,223.55
  5. Step 5: Solve for x
    x = 6,314,223.55/2,960.02
  6. Step 6: Final answer
    x = 2,133.17

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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.