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Finding the Fourth Proportional to 2,533.76, 3,798.48 and 1,072.88

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Solution

The fourth proportional to 2,533.76, 3,798.48 and 1,072.88 is: 1,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.76 : 3,798.48 = 1,072.88 : x
  2. Step 2: Convert to fraction form
    2,533.76/3,798.48 = 1,072.88/x
  3. Step 3: Cross multiply
    2,533.76x = 3,798.48 × 1,072.88
  4. Step 4: Simplify right side
    2,533.76x = 4,075,313.22
  5. Step 5: Solve for x
    x = 4,075,313.22/2,533.76
  6. Step 6: Final answer
    x = 1,608.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.