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Finding the Fourth Proportional to 2,146.98, 2,962.80 and 1,263.36

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Solution

The fourth proportional to 2,146.98, 2,962.80 and 1,263.36 is: 1,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.98 : 2,962.80 = 1,263.36 : x
  2. Step 2: Convert to fraction form
    2,146.98/2,962.80 = 1,263.36/x
  3. Step 3: Cross multiply
    2,146.98x = 2,962.80 × 1,263.36
  4. Step 4: Simplify right side
    2,146.98x = 3,743,083.01
  5. Step 5: Solve for x
    x = 3,743,083.01/2,146.98
  6. Step 6: Final answer
    x = 1,743.42

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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.