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Finding the Fourth Proportional to 2,840.56, 4,260.84 and 1,685.68

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Solution

The fourth proportional to 2,840.56, 4,260.84 and 1,685.68 is: 2,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.56 : 4,260.84 = 1,685.68 : x
  2. Step 2: Convert to fraction form
    2,840.56/4,260.84 = 1,685.68/x
  3. Step 3: Cross multiply
    2,840.56x = 4,260.84 × 1,685.68
  4. Step 4: Simplify right side
    2,840.56x = 7,182,412.77
  5. Step 5: Solve for x
    x = 7,182,412.77/2,840.56
  6. Step 6: Final answer
    x = 2,528.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.