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Finding the Fourth Proportional to 3,173.71, 4,379.30 and 1,776.46

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Solution

The fourth proportional to 3,173.71, 4,379.30 and 1,776.46 is: 2,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.71 : 4,379.30 = 1,776.46 : x
  2. Step 2: Convert to fraction form
    3,173.71/4,379.30 = 1,776.46/x
  3. Step 3: Cross multiply
    3,173.71x = 4,379.30 × 1,776.46
  4. Step 4: Simplify right side
    3,173.71x = 7,779,633.82
  5. Step 5: Solve for x
    x = 7,779,633.82/3,173.71
  6. Step 6: Final answer
    x = 2,451.28

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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.