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Finding the Fourth Proportional to 2,203.33, 3,041.12 and 1,496.35

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Solution

The fourth proportional to 2,203.33, 3,041.12 and 1,496.35 is: 2,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.33 : 3,041.12 = 1,496.35 : x
  2. Step 2: Convert to fraction form
    2,203.33/3,041.12 = 1,496.35/x
  3. Step 3: Cross multiply
    2,203.33x = 3,041.12 × 1,496.35
  4. Step 4: Simplify right side
    2,203.33x = 4,550,583.65
  5. Step 5: Solve for x
    x = 4,550,583.65/2,203.33
  6. Step 6: Final answer
    x = 2,065.32

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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.