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Finding the Fourth Proportional to 1,783.92, 2,460.80 and 1,584.32

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Solution

The fourth proportional to 1,783.92, 2,460.80 and 1,584.32 is: 2,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.92 : 2,460.80 = 1,584.32 : x
  2. Step 2: Convert to fraction form
    1,783.92/2,460.80 = 1,584.32/x
  3. Step 3: Cross multiply
    1,783.92x = 2,460.80 × 1,584.32
  4. Step 4: Simplify right side
    1,783.92x = 3,898,694.66
  5. Step 5: Solve for x
    x = 3,898,694.66/1,783.92
  6. Step 6: Final answer
    x = 2,185.46

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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.