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Finding the Fourth Proportional to 2,156.35, 2,973.43 and 1,657.89

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Solution

The fourth proportional to 2,156.35, 2,973.43 and 1,657.89 is: 2,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.35 : 2,973.43 = 1,657.89 : x
  2. Step 2: Convert to fraction form
    2,156.35/2,973.43 = 1,657.89/x
  3. Step 3: Cross multiply
    2,156.35x = 2,973.43 × 1,657.89
  4. Step 4: Simplify right side
    2,156.35x = 4,929,619.86
  5. Step 5: Solve for x
    x = 4,929,619.86/2,156.35
  6. Step 6: Final answer
    x = 2,286.09

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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.