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Finding the Fourth Proportional to 2,983.94, 4,117.56 and 1,657.34

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Solution

The fourth proportional to 2,983.94, 4,117.56 and 1,657.34 is: 2,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.94 : 4,117.56 = 1,657.34 : x
  2. Step 2: Convert to fraction form
    2,983.94/4,117.56 = 1,657.34/x
  3. Step 3: Cross multiply
    2,983.94x = 4,117.56 × 1,657.34
  4. Step 4: Simplify right side
    2,983.94x = 6,824,196.89
  5. Step 5: Solve for x
    x = 6,824,196.89/2,983.94
  6. Step 6: Final answer
    x = 2,286.98

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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.