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Finding the Fourth Proportional to 3,200.82, 4,417.02 and 1,784.46

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Solution

The fourth proportional to 3,200.82, 4,417.02 and 1,784.46 is: 2,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.82 : 4,417.02 = 1,784.46 : x
  2. Step 2: Convert to fraction form
    3,200.82/4,417.02 = 1,784.46/x
  3. Step 3: Cross multiply
    3,200.82x = 4,417.02 × 1,784.46
  4. Step 4: Simplify right side
    3,200.82x = 7,881,995.51
  5. Step 5: Solve for x
    x = 7,881,995.51/3,200.82
  6. Step 6: Final answer
    x = 2,462.49

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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.