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Finding the Fourth Proportional to 1,773.24, 2,657.88 and 1,157.40

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Solution

The fourth proportional to 1,773.24, 2,657.88 and 1,157.40 is: 1,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.24 : 2,657.88 = 1,157.40 : x
  2. Step 2: Convert to fraction form
    1,773.24/2,657.88 = 1,157.40/x
  3. Step 3: Cross multiply
    1,773.24x = 2,657.88 × 1,157.40
  4. Step 4: Simplify right side
    1,773.24x = 3,076,230.31
  5. Step 5: Solve for x
    x = 3,076,230.31/1,773.24
  6. Step 6: Final answer
    x = 1,734.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.