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Finding the Fourth Proportional to 3,541.94, 4,887.81 and 1,970

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Solution

The fourth proportional to 3,541.94, 4,887.81 and 1,970 is: 2,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.94 : 4,887.81 = 1,970 : x
  2. Step 2: Convert to fraction form
    3,541.94/4,887.81 = 1,970/x
  3. Step 3: Cross multiply
    3,541.94x = 4,887.81 × 1,970
  4. Step 4: Simplify right side
    3,541.94x = 9,628,985.70
  5. Step 5: Solve for x
    x = 9,628,985.70/3,541.94
  6. Step 6: Final answer
    x = 2,718.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.