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Finding the Fourth Proportional to 2,181.52, 3,011.64 and 1,683.06

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Solution

The fourth proportional to 2,181.52, 3,011.64 and 1,683.06 is: 2,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.52 : 3,011.64 = 1,683.06 : x
  2. Step 2: Convert to fraction form
    2,181.52/3,011.64 = 1,683.06/x
  3. Step 3: Cross multiply
    2,181.52x = 3,011.64 × 1,683.06
  4. Step 4: Simplify right side
    2,181.52x = 5,068,770.82
  5. Step 5: Solve for x
    x = 5,068,770.82/2,181.52
  6. Step 6: Final answer
    x = 2,323.50

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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.