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Finding the Fourth Proportional to 1,796.08, 2,478.14 and 1,376.86

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Solution

The fourth proportional to 1,796.08, 2,478.14 and 1,376.86 is: 1,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.08 : 2,478.14 = 1,376.86 : x
  2. Step 2: Convert to fraction form
    1,796.08/2,478.14 = 1,376.86/x
  3. Step 3: Cross multiply
    1,796.08x = 2,478.14 × 1,376.86
  4. Step 4: Simplify right side
    1,796.08x = 3,412,051.84
  5. Step 5: Solve for x
    x = 3,412,051.84/1,796.08
  6. Step 6: Final answer
    x = 1,899.72

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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.