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Finding the Fourth Proportional to 2,765.34, 4,148.07 and 1,033.02

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Solution

The fourth proportional to 2,765.34, 4,148.07 and 1,033.02 is: 1,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.34 : 4,148.07 = 1,033.02 : x
  2. Step 2: Convert to fraction form
    2,765.34/4,148.07 = 1,033.02/x
  3. Step 3: Cross multiply
    2,765.34x = 4,148.07 × 1,033.02
  4. Step 4: Simplify right side
    2,765.34x = 4,285,039.27
  5. Step 5: Solve for x
    x = 4,285,039.27/2,765.34
  6. Step 6: Final answer
    x = 1,549.55

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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.