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Finding the Fourth Proportional to 2,258.87, 3,389.74 and 960.32

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Solution

The fourth proportional to 2,258.87, 3,389.74 and 960.32 is: 1,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.87 : 3,389.74 = 960.32 : x
  2. Step 2: Convert to fraction form
    2,258.87/3,389.74 = 960.32/x
  3. Step 3: Cross multiply
    2,258.87x = 3,389.74 × 960.32
  4. Step 4: Simplify right side
    2,258.87x = 3,255,241.19
  5. Step 5: Solve for x
    x = 3,255,241.19/2,258.87
  6. Step 6: Final answer
    x = 1,441.10

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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.