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Finding the Fourth Proportional to 1,503.24, 2,074.90 and 1,171.32

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Solution

The fourth proportional to 1,503.24, 2,074.90 and 1,171.32 is: 1,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.24 : 2,074.90 = 1,171.32 : x
  2. Step 2: Convert to fraction form
    1,503.24/2,074.90 = 1,171.32/x
  3. Step 3: Cross multiply
    1,503.24x = 2,074.90 × 1,171.32
  4. Step 4: Simplify right side
    1,503.24x = 2,430,371.87
  5. Step 5: Solve for x
    x = 2,430,371.87/1,503.24
  6. Step 6: Final answer
    x = 1,616.76

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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.