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Finding the Fourth Proportional to 2,486.96, 3,432.16 and 1,492.28

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Solution

The fourth proportional to 2,486.96, 3,432.16 and 1,492.28 is: 2,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.96 : 3,432.16 = 1,492.28 : x
  2. Step 2: Convert to fraction form
    2,486.96/3,432.16 = 1,492.28/x
  3. Step 3: Cross multiply
    2,486.96x = 3,432.16 × 1,492.28
  4. Step 4: Simplify right side
    2,486.96x = 5,121,743.72
  5. Step 5: Solve for x
    x = 5,121,743.72/2,486.96
  6. Step 6: Final answer
    x = 2,059.44

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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.