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Finding the Fourth Proportional to 2,150.40, 2,968.80 and 1,266.24

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Solution

The fourth proportional to 2,150.40, 2,968.80 and 1,266.24 is: 1,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.40 : 2,968.80 = 1,266.24 : x
  2. Step 2: Convert to fraction form
    2,150.40/2,968.80 = 1,266.24/x
  3. Step 3: Cross multiply
    2,150.40x = 2,968.80 × 1,266.24
  4. Step 4: Simplify right side
    2,150.40x = 3,759,213.31
  5. Step 5: Solve for x
    x = 3,759,213.31/2,150.40
  6. Step 6: Final answer
    x = 1,748.15

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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.