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Finding the Fourth Proportional to 3,199.85, 4,415.64 and 1,783.46

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Solution

The fourth proportional to 3,199.85, 4,415.64 and 1,783.46 is: 2,461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.85 : 4,415.64 = 1,783.46 : x
  2. Step 2: Convert to fraction form
    3,199.85/4,415.64 = 1,783.46/x
  3. Step 3: Cross multiply
    3,199.85x = 4,415.64 × 1,783.46
  4. Step 4: Simplify right side
    3,199.85x = 7,875,095.24
  5. Step 5: Solve for x
    x = 7,875,095.24/3,199.85
  6. Step 6: Final answer
    x = 2,461.09

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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.