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Finding the Fourth Proportional to 2,734.08, 3,772.96 and 1,492

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Solution

The fourth proportional to 2,734.08, 3,772.96 and 1,492 is: 2,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.08 : 3,772.96 = 1,492 : x
  2. Step 2: Convert to fraction form
    2,734.08/3,772.96 = 1,492/x
  3. Step 3: Cross multiply
    2,734.08x = 3,772.96 × 1,492
  4. Step 4: Simplify right side
    2,734.08x = 5,629,256.32
  5. Step 5: Solve for x
    x = 5,629,256.32/2,734.08
  6. Step 6: Final answer
    x = 2,058.92

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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.