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Finding the Fourth Proportional to 2,533.58, 3,795.03 and 1,297.22

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Solution

The fourth proportional to 2,533.58, 3,795.03 and 1,297.22 is: 1,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.58 : 3,795.03 = 1,297.22 : x
  2. Step 2: Convert to fraction form
    2,533.58/3,795.03 = 1,297.22/x
  3. Step 3: Cross multiply
    2,533.58x = 3,795.03 × 1,297.22
  4. Step 4: Simplify right side
    2,533.58x = 4,922,988.82
  5. Step 5: Solve for x
    x = 4,922,988.82/2,533.58
  6. Step 6: Final answer
    x = 1,943.10

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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.