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Finding the Fourth Proportional to 2,984.31, 4,118.42 and 1,657.98

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Solution

The fourth proportional to 2,984.31, 4,118.42 and 1,657.98 is: 2,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.31 : 4,118.42 = 1,657.98 : x
  2. Step 2: Convert to fraction form
    2,984.31/4,118.42 = 1,657.98/x
  3. Step 3: Cross multiply
    2,984.31x = 4,118.42 × 1,657.98
  4. Step 4: Simplify right side
    2,984.31x = 6,828,262.14
  5. Step 5: Solve for x
    x = 6,828,262.14/2,984.31
  6. Step 6: Final answer
    x = 2,288.05

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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.