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Finding the Fourth Proportional to 1,492.89, 2,240.08 and 671.75

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Solution

The fourth proportional to 1,492.89, 2,240.08 and 671.75 is: 1,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.89 : 2,240.08 = 671.75 : x
  2. Step 2: Convert to fraction form
    1,492.89/2,240.08 = 671.75/x
  3. Step 3: Cross multiply
    1,492.89x = 2,240.08 × 671.75
  4. Step 4: Simplify right side
    1,492.89x = 1,504,773.74
  5. Step 5: Solve for x
    x = 1,504,773.74/1,492.89
  6. Step 6: Final answer
    x = 1,007.96

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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.