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Finding the Fourth Proportional to 1,667.67, 2,301.53 and 969

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Solution

The fourth proportional to 1,667.67, 2,301.53 and 969 is: 1,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.67 : 2,301.53 = 969 : x
  2. Step 2: Convert to fraction form
    1,667.67/2,301.53 = 969/x
  3. Step 3: Cross multiply
    1,667.67x = 2,301.53 × 969
  4. Step 4: Simplify right side
    1,667.67x = 2,230,177.73
  5. Step 5: Solve for x
    x = 2,230,177.73/1,667.67
  6. Step 6: Final answer
    x = 1,337.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.