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Finding the Fourth Proportional to 2,963.98, 4,447.53 and 1,210.28

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Solution

The fourth proportional to 2,963.98, 4,447.53 and 1,210.28 is: 1,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.98 : 4,447.53 = 1,210.28 : x
  2. Step 2: Convert to fraction form
    2,963.98/4,447.53 = 1,210.28/x
  3. Step 3: Cross multiply
    2,963.98x = 4,447.53 × 1,210.28
  4. Step 4: Simplify right side
    2,963.98x = 5,382,756.61
  5. Step 5: Solve for x
    x = 5,382,756.61/2,963.98
  6. Step 6: Final answer
    x = 1,816.06

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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.