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Finding the Fourth Proportional to 2,203.59, 3,303.81 and 1,032.94

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Solution

The fourth proportional to 2,203.59, 3,303.81 and 1,032.94 is: 1,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.59 : 3,303.81 = 1,032.94 : x
  2. Step 2: Convert to fraction form
    2,203.59/3,303.81 = 1,032.94/x
  3. Step 3: Cross multiply
    2,203.59x = 3,303.81 × 1,032.94
  4. Step 4: Simplify right side
    2,203.59x = 3,412,629.24
  5. Step 5: Solve for x
    x = 3,412,629.24/2,203.59
  6. Step 6: Final answer
    x = 1,548.67

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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.