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Finding the Fourth Proportional to 3,200.99, 4,417.35 and 1,784.69

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Solution

The fourth proportional to 3,200.99, 4,417.35 and 1,784.69 is: 2,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.99 : 4,417.35 = 1,784.69 : x
  2. Step 2: Convert to fraction form
    3,200.99/4,417.35 = 1,784.69/x
  3. Step 3: Cross multiply
    3,200.99x = 4,417.35 × 1,784.69
  4. Step 4: Simplify right side
    3,200.99x = 7,883,591.45
  5. Step 5: Solve for x
    x = 7,883,591.45/3,200.99
  6. Step 6: Final answer
    x = 2,462.86

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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.