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Finding the Fourth Proportional to 2,954, 4,075.08 and 2,365.28

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Solution

The fourth proportional to 2,954, 4,075.08 and 2,365.28 is: 3,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954 : 4,075.08 = 2,365.28 : x
  2. Step 2: Convert to fraction form
    2,954/4,075.08 = 2,365.28/x
  3. Step 3: Cross multiply
    2,954x = 4,075.08 × 2,365.28
  4. Step 4: Simplify right side
    2,954x = 9,638,705.22
  5. Step 5: Solve for x
    x = 9,638,705.22/2,954
  6. Step 6: Final answer
    x = 3,262.93

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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.