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Finding the Fourth Proportional to 1,352.66, 2,019.48 and 1,157.72

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Solution

The fourth proportional to 1,352.66, 2,019.48 and 1,157.72 is: 1,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.66 : 2,019.48 = 1,157.72 : x
  2. Step 2: Convert to fraction form
    1,352.66/2,019.48 = 1,157.72/x
  3. Step 3: Cross multiply
    1,352.66x = 2,019.48 × 1,157.72
  4. Step 4: Simplify right side
    1,352.66x = 2,337,977.95
  5. Step 5: Solve for x
    x = 2,337,977.95/1,352.66
  6. Step 6: Final answer
    x = 1,728.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.