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Finding the Fourth Proportional to 3,235.34, 4,853.04 and 926.84

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Solution

The fourth proportional to 3,235.34, 4,853.04 and 926.84 is: 1,390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.34 : 4,853.04 = 926.84 : x
  2. Step 2: Convert to fraction form
    3,235.34/4,853.04 = 926.84/x
  3. Step 3: Cross multiply
    3,235.34x = 4,853.04 × 926.84
  4. Step 4: Simplify right side
    3,235.34x = 4,497,991.59
  5. Step 5: Solve for x
    x = 4,497,991.59/3,235.34
  6. Step 6: Final answer
    x = 1,390.27

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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.