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Finding the Fourth Proportional to 1,670.78, 2,306.83 and 1,252.06

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Solution

The fourth proportional to 1,670.78, 2,306.83 and 1,252.06 is: 1,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.78 : 2,306.83 = 1,252.06 : x
  2. Step 2: Convert to fraction form
    1,670.78/2,306.83 = 1,252.06/x
  3. Step 3: Cross multiply
    1,670.78x = 2,306.83 × 1,252.06
  4. Step 4: Simplify right side
    1,670.78x = 2,888,283.02
  5. Step 5: Solve for x
    x = 2,888,283.02/1,670.78
  6. Step 6: Final answer
    x = 1,728.71

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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.