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Finding the Fourth Proportional to 1,357.31, 1,871.37 and 1,157.74

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Solution

The fourth proportional to 1,357.31, 1,871.37 and 1,157.74 is: 1,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.31 : 1,871.37 = 1,157.74 : x
  2. Step 2: Convert to fraction form
    1,357.31/1,871.37 = 1,157.74/x
  3. Step 3: Cross multiply
    1,357.31x = 1,871.37 × 1,157.74
  4. Step 4: Simplify right side
    1,357.31x = 2,166,560.87
  5. Step 5: Solve for x
    x = 2,166,560.87/1,357.31
  6. Step 6: Final answer
    x = 1,596.22

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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.