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Finding the Fourth Proportional to 2,962.25, 4,443.38 and 910.25

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Solution

The fourth proportional to 2,962.25, 4,443.38 and 910.25 is: 1,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.25 : 4,443.38 = 910.25 : x
  2. Step 2: Convert to fraction form
    2,962.25/4,443.38 = 910.25/x
  3. Step 3: Cross multiply
    2,962.25x = 4,443.38 × 910.25
  4. Step 4: Simplify right side
    2,962.25x = 4,044,582.09
  5. Step 5: Solve for x
    x = 4,044,582.09/2,962.25
  6. Step 6: Final answer
    x = 1,365.38

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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.