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Finding the Fourth Proportional to 3,199.38, 4,415.01 and 1,783.02

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Solution

The fourth proportional to 3,199.38, 4,415.01 and 1,783.02 is: 2,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.38 : 4,415.01 = 1,783.02 : x
  2. Step 2: Convert to fraction form
    3,199.38/4,415.01 = 1,783.02/x
  3. Step 3: Cross multiply
    3,199.38x = 4,415.01 × 1,783.02
  4. Step 4: Simplify right side
    3,199.38x = 7,872,051.13
  5. Step 5: Solve for x
    x = 7,872,051.13/3,199.38
  6. Step 6: Final answer
    x = 2,460.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.