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Finding the Fourth Proportional to 3,254.46, 4,492.71 and 1,856.94

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Solution

The fourth proportional to 3,254.46, 4,492.71 and 1,856.94 is: 2,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.46 : 4,492.71 = 1,856.94 : x
  2. Step 2: Convert to fraction form
    3,254.46/4,492.71 = 1,856.94/x
  3. Step 3: Cross multiply
    3,254.46x = 4,492.71 × 1,856.94
  4. Step 4: Simplify right side
    3,254.46x = 8,342,692.91
  5. Step 5: Solve for x
    x = 8,342,692.91/3,254.46
  6. Step 6: Final answer
    x = 2,563.46

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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.