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Finding the Fourth Proportional to 3,199.89, 4,415.78 and 1,783.58

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Solution

The fourth proportional to 3,199.89, 4,415.78 and 1,783.58 is: 2,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.89 : 4,415.78 = 1,783.58 : x
  2. Step 2: Convert to fraction form
    3,199.89/4,415.78 = 1,783.58/x
  3. Step 3: Cross multiply
    3,199.89x = 4,415.78 × 1,783.58
  4. Step 4: Simplify right side
    3,199.89x = 7,875,874.81
  5. Step 5: Solve for x
    x = 7,875,874.81/3,199.89
  6. Step 6: Final answer
    x = 2,461.30

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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.