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Finding the Fourth Proportional to 1,670.83, 2,304.22 and 1,434.70

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Solution

The fourth proportional to 1,670.83, 2,304.22 and 1,434.70 is: 1,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.83 : 2,304.22 = 1,434.70 : x
  2. Step 2: Convert to fraction form
    1,670.83/2,304.22 = 1,434.70/x
  3. Step 3: Cross multiply
    1,670.83x = 2,304.22 × 1,434.70
  4. Step 4: Simplify right side
    1,670.83x = 3,305,874.87
  5. Step 5: Solve for x
    x = 3,305,874.87/1,670.83
  6. Step 6: Final answer
    x = 1,978.58

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