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Finding the Fourth Proportional to 3,199.82, 4,416.08 and 1,783.74

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Solution

The fourth proportional to 3,199.82, 4,416.08 and 1,783.74 is: 2,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.82 : 4,416.08 = 1,783.74 : x
  2. Step 2: Convert to fraction form
    3,199.82/4,416.08 = 1,783.74/x
  3. Step 3: Cross multiply
    3,199.82x = 4,416.08 × 1,783.74
  4. Step 4: Simplify right side
    3,199.82x = 7,877,129.62
  5. Step 5: Solve for x
    x = 7,877,129.62/3,199.82
  6. Step 6: Final answer
    x = 2,461.74

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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.