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Finding the Fourth Proportional to 2,953.54, 4,075.87 and 1,627.24

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Solution

The fourth proportional to 2,953.54, 4,075.87 and 1,627.24 is: 2,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.54 : 4,075.87 = 1,627.24 : x
  2. Step 2: Convert to fraction form
    2,953.54/4,075.87 = 1,627.24/x
  3. Step 3: Cross multiply
    2,953.54x = 4,075.87 × 1,627.24
  4. Step 4: Simplify right side
    2,953.54x = 6,632,415.13
  5. Step 5: Solve for x
    x = 6,632,415.13/2,953.54
  6. Step 6: Final answer
    x = 2,245.58

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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.