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Finding the Fourth Proportional to 1,670, 2,305.14 and 1,049

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Solution

The fourth proportional to 1,670, 2,305.14 and 1,049 is: 1,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670 : 2,305.14 = 1,049 : x
  2. Step 2: Convert to fraction form
    1,670/2,305.14 = 1,049/x
  3. Step 3: Cross multiply
    1,670x = 2,305.14 × 1,049
  4. Step 4: Simplify right side
    1,670x = 2,418,091.86
  5. Step 5: Solve for x
    x = 2,418,091.86/1,670
  6. Step 6: Final answer
    x = 1,447.96

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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.