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Finding the Fourth Proportional to 3,199.86, 4,416.06 and 1,784.00

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Solution

The fourth proportional to 3,199.86, 4,416.06 and 1,784.00 is: 2,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.86 : 4,416.06 = 1,784.00 : x
  2. Step 2: Convert to fraction form
    3,199.86/4,416.06 = 1,784.00/x
  3. Step 3: Cross multiply
    3,199.86x = 4,416.06 × 1,784.00
  4. Step 4: Simplify right side
    3,199.86x = 7,878,262.08
  5. Step 5: Solve for x
    x = 7,878,262.08/3,199.86
  6. Step 6: Final answer
    x = 2,462.06

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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.