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Finding the Fourth Proportional to 2,492.78, 3,439.26 and 1,415.88

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Solution

The fourth proportional to 2,492.78, 3,439.26 and 1,415.88 is: 1,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.78 : 3,439.26 = 1,415.88 : x
  2. Step 2: Convert to fraction form
    2,492.78/3,439.26 = 1,415.88/x
  3. Step 3: Cross multiply
    2,492.78x = 3,439.26 × 1,415.88
  4. Step 4: Simplify right side
    2,492.78x = 4,869,579.45
  5. Step 5: Solve for x
    x = 4,869,579.45/2,492.78
  6. Step 6: Final answer
    x = 1,953.48

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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.