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Finding the Fourth Proportional to 2,157.35, 2,973.31 and 1,857.83

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Solution

The fourth proportional to 2,157.35, 2,973.31 and 1,857.83 is: 2,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.35 : 2,973.31 = 1,857.83 : x
  2. Step 2: Convert to fraction form
    2,157.35/2,973.31 = 1,857.83/x
  3. Step 3: Cross multiply
    2,157.35x = 2,973.31 × 1,857.83
  4. Step 4: Simplify right side
    2,157.35x = 5,523,885.01
  5. Step 5: Solve for x
    x = 5,523,885.01/2,157.35
  6. Step 6: Final answer
    x = 2,560.50

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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.