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Finding the Fourth Proportional to 1,784.31, 2,463.12 and 1,342.32

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Solution

The fourth proportional to 1,784.31, 2,463.12 and 1,342.32 is: 1,852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.31 : 2,463.12 = 1,342.32 : x
  2. Step 2: Convert to fraction form
    1,784.31/2,463.12 = 1,342.32/x
  3. Step 3: Cross multiply
    1,784.31x = 2,463.12 × 1,342.32
  4. Step 4: Simplify right side
    1,784.31x = 3,306,295.24
  5. Step 5: Solve for x
    x = 3,306,295.24/1,784.31
  6. Step 6: Final answer
    x = 1,852.98

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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.