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Finding the Fourth Proportional to 1,903.82, 2,627.37 and 1,157.65

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Solution

The fourth proportional to 1,903.82, 2,627.37 and 1,157.65 is: 1,597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.82 : 2,627.37 = 1,157.65 : x
  2. Step 2: Convert to fraction form
    1,903.82/2,627.37 = 1,157.65/x
  3. Step 3: Cross multiply
    1,903.82x = 2,627.37 × 1,157.65
  4. Step 4: Simplify right side
    1,903.82x = 3,041,569.09
  5. Step 5: Solve for x
    x = 3,041,569.09/1,903.82
  6. Step 6: Final answer
    x = 1,597.62

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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.