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Finding the Fourth Proportional to 3,155.95, 4,734.95 and 964.67

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Solution

The fourth proportional to 3,155.95, 4,734.95 and 964.67 is: 1,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.95 : 4,734.95 = 964.67 : x
  2. Step 2: Convert to fraction form
    3,155.95/4,734.95 = 964.67/x
  3. Step 3: Cross multiply
    3,155.95x = 4,734.95 × 964.67
  4. Step 4: Simplify right side
    3,155.95x = 4,567,664.22
  5. Step 5: Solve for x
    x = 4,567,664.22/3,155.95
  6. Step 6: Final answer
    x = 1,447.32

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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.