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Finding the Fourth Proportional to 1,640.58, 2,251.26 and 1,492.08

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Solution

The fourth proportional to 1,640.58, 2,251.26 and 1,492.08 is: 2,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.58 : 2,251.26 = 1,492.08 : x
  2. Step 2: Convert to fraction form
    1,640.58/2,251.26 = 1,492.08/x
  3. Step 3: Cross multiply
    1,640.58x = 2,251.26 × 1,492.08
  4. Step 4: Simplify right side
    1,640.58x = 3,359,060.02
  5. Step 5: Solve for x
    x = 3,359,060.02/1,640.58
  6. Step 6: Final answer
    x = 2,047.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.