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Finding the Fourth Proportional to 2,529.57, 3,794.35 and 705.57

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Solution

The fourth proportional to 2,529.57, 3,794.35 and 705.57 is: 1,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.57 : 3,794.35 = 705.57 : x
  2. Step 2: Convert to fraction form
    2,529.57/3,794.35 = 705.57/x
  3. Step 3: Cross multiply
    2,529.57x = 3,794.35 × 705.57
  4. Step 4: Simplify right side
    2,529.57x = 2,677,157.03
  5. Step 5: Solve for x
    x = 2,677,157.03/2,529.57
  6. Step 6: Final answer
    x = 1,058.35

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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.