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Finding the Fourth Proportional to 2,533.44, 3,494.16 and 1,538.16

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Solution

The fourth proportional to 2,533.44, 3,494.16 and 1,538.16 is: 2,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.44 : 3,494.16 = 1,538.16 : x
  2. Step 2: Convert to fraction form
    2,533.44/3,494.16 = 1,538.16/x
  3. Step 3: Cross multiply
    2,533.44x = 3,494.16 × 1,538.16
  4. Step 4: Simplify right side
    2,533.44x = 5,374,577.15
  5. Step 5: Solve for x
    x = 5,374,577.15/2,533.44
  6. Step 6: Final answer
    x = 2,121.45

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1.5x scale

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.