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Finding the Fourth Proportional to 2,959.50, 4,084.14 and 1,633.32

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Solution

The fourth proportional to 2,959.50, 4,084.14 and 1,633.32 is: 2,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.50 : 4,084.14 = 1,633.32 : x
  2. Step 2: Convert to fraction form
    2,959.50/4,084.14 = 1,633.32/x
  3. Step 3: Cross multiply
    2,959.50x = 4,084.14 × 1,633.32
  4. Step 4: Simplify right side
    2,959.50x = 6,670,707.54
  5. Step 5: Solve for x
    x = 6,670,707.54/2,959.50
  6. Step 6: Final answer
    x = 2,254.00

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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.