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Finding the Fourth Proportional to 3,074.86, 4,243.32 and 1,677.64

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Solution

The fourth proportional to 3,074.86, 4,243.32 and 1,677.64 is: 2,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.86 : 4,243.32 = 1,677.64 : x
  2. Step 2: Convert to fraction form
    3,074.86/4,243.32 = 1,677.64/x
  3. Step 3: Cross multiply
    3,074.86x = 4,243.32 × 1,677.64
  4. Step 4: Simplify right side
    3,074.86x = 7,118,763.36
  5. Step 5: Solve for x
    x = 7,118,763.36/3,074.86
  6. Step 6: Final answer
    x = 2,315.15

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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.