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Finding the Fourth Proportional to 2,261.67, 3,390.08 and 945.08

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Solution

The fourth proportional to 2,261.67, 3,390.08 and 945.08 is: 1,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.67 : 3,390.08 = 945.08 : x
  2. Step 2: Convert to fraction form
    2,261.67/3,390.08 = 945.08/x
  3. Step 3: Cross multiply
    2,261.67x = 3,390.08 × 945.08
  4. Step 4: Simplify right side
    2,261.67x = 3,203,895.27
  5. Step 5: Solve for x
    x = 3,203,895.27/2,261.67
  6. Step 6: Final answer
    x = 1,416.61

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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.