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Finding the Fourth Proportional to 3,054.77, 4,582.55 and 863.67

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Solution

The fourth proportional to 3,054.77, 4,582.55 and 863.67 is: 1,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.77 : 4,582.55 = 863.67 : x
  2. Step 2: Convert to fraction form
    3,054.77/4,582.55 = 863.67/x
  3. Step 3: Cross multiply
    3,054.77x = 4,582.55 × 863.67
  4. Step 4: Simplify right side
    3,054.77x = 3,957,810.96
  5. Step 5: Solve for x
    x = 3,957,810.96/3,054.77
  6. Step 6: Final answer
    x = 1,295.62

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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.