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Finding the Fourth Proportional to 3,141.84, 4,703.55 and 1,657.56

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Solution

The fourth proportional to 3,141.84, 4,703.55 and 1,657.56 is: 2,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.84 : 4,703.55 = 1,657.56 : x
  2. Step 2: Convert to fraction form
    3,141.84/4,703.55 = 1,657.56/x
  3. Step 3: Cross multiply
    3,141.84x = 4,703.55 × 1,657.56
  4. Step 4: Simplify right side
    3,141.84x = 7,796,416.34
  5. Step 5: Solve for x
    x = 7,796,416.34/3,141.84
  6. Step 6: Final answer
    x = 2,481.48

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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.