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Finding the Fourth Proportional to 3,200.54, 4,416.76 and 1,784.31

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Solution

The fourth proportional to 3,200.54, 4,416.76 and 1,784.31 is: 2,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.54 : 4,416.76 = 1,784.31 : x
  2. Step 2: Convert to fraction form
    3,200.54/4,416.76 = 1,784.31/x
  3. Step 3: Cross multiply
    3,200.54x = 4,416.76 × 1,784.31
  4. Step 4: Simplify right side
    3,200.54x = 7,880,875.62
  5. Step 5: Solve for x
    x = 7,880,875.62/3,200.54
  6. Step 6: Final answer
    x = 2,462.36

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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.