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Finding the Fourth Proportional to 3,111.93, 4,667.93 and 920.67

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Solution

The fourth proportional to 3,111.93, 4,667.93 and 920.67 is: 1,381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.93 : 4,667.93 = 920.67 : x
  2. Step 2: Convert to fraction form
    3,111.93/4,667.93 = 920.67/x
  3. Step 3: Cross multiply
    3,111.93x = 4,667.93 × 920.67
  4. Step 4: Simplify right side
    3,111.93x = 4,297,618.51
  5. Step 5: Solve for x
    x = 4,297,618.51/3,111.93
  6. Step 6: Final answer
    x = 1,381.01

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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.