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Finding the Fourth Proportional to 1,670.96, 2,306.41 and 1,173.74

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Solution

The fourth proportional to 1,670.96, 2,306.41 and 1,173.74 is: 1,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.96 : 2,306.41 = 1,173.74 : x
  2. Step 2: Convert to fraction form
    1,670.96/2,306.41 = 1,173.74/x
  3. Step 3: Cross multiply
    1,670.96x = 2,306.41 × 1,173.74
  4. Step 4: Simplify right side
    1,670.96x = 2,707,111.21
  5. Step 5: Solve for x
    x = 2,707,111.21/1,670.96
  6. Step 6: Final answer
    x = 1,620.09

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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.