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Finding the Fourth Proportional to 1,783.31, 2,461.65 and 1,596.47

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Solution

The fourth proportional to 1,783.31, 2,461.65 and 1,596.47 is: 2,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.31 : 2,461.65 = 1,596.47 : x
  2. Step 2: Convert to fraction form
    1,783.31/2,461.65 = 1,596.47/x
  3. Step 3: Cross multiply
    1,783.31x = 2,461.65 × 1,596.47
  4. Step 4: Simplify right side
    1,783.31x = 3,929,930.08
  5. Step 5: Solve for x
    x = 3,929,930.08/1,783.31
  6. Step 6: Final answer
    x = 2,203.73

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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.