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Finding the Fourth Proportional to 1,667, 2,301 and 1,046

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Solution

The fourth proportional to 1,667, 2,301 and 1,046 is: 1,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667 : 2,301 = 1,046 : x
  2. Step 2: Convert to fraction form
    1,667/2,301 = 1,046/x
  3. Step 3: Cross multiply
    1,667x = 2,301 × 1,046
  4. Step 4: Simplify right side
    1,667x = 2,406,846
  5. Step 5: Solve for x
    x = 2,406,846/1,667
  6. Step 6: Final answer
    x = 1,443.82

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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.