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Finding the Fourth Proportional to 2,492.52, 3,435.86 and 2,094

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Solution

The fourth proportional to 2,492.52, 3,435.86 and 2,094 is: 2,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.52 : 3,435.86 = 2,094 : x
  2. Step 2: Convert to fraction form
    2,492.52/3,435.86 = 2,094/x
  3. Step 3: Cross multiply
    2,492.52x = 3,435.86 × 2,094
  4. Step 4: Simplify right side
    2,492.52x = 7,194,680.37
  5. Step 5: Solve for x
    x = 7,194,680.37/2,492.52
  6. Step 6: Final answer
    x = 2,886.51

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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.