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Finding the Fourth Proportional to 2,153.88, 2,970.96 and 1,268.94

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Solution

The fourth proportional to 2,153.88, 2,970.96 and 1,268.94 is: 1,750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.88 : 2,970.96 = 1,268.94 : x
  2. Step 2: Convert to fraction form
    2,153.88/2,970.96 = 1,268.94/x
  3. Step 3: Cross multiply
    2,153.88x = 2,970.96 × 1,268.94
  4. Step 4: Simplify right side
    2,153.88x = 3,769,969.98
  5. Step 5: Solve for x
    x = 3,769,969.98/2,153.88
  6. Step 6: Final answer
    x = 1,750.32

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Why These Related Problems?

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