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Finding the Fourth Proportional to 1,431, 2,146.68 and 609.12

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Solution

The fourth proportional to 1,431, 2,146.68 and 609.12 is: 913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431 : 2,146.68 = 609.12 : x
  2. Step 2: Convert to fraction form
    1,431/2,146.68 = 609.12/x
  3. Step 3: Cross multiply
    1,431x = 2,146.68 × 609.12
  4. Step 4: Simplify right side
    1,431x = 1,307,585.72
  5. Step 5: Solve for x
    x = 1,307,585.72/1,431
  6. Step 6: Final answer
    x = 913.76

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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.