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Finding the Fourth Proportional to 2,492.70, 3,731.67 and 1,846.32

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Solution

The fourth proportional to 2,492.70, 3,731.67 and 1,846.32 is: 2,764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.70 : 3,731.67 = 1,846.32 : x
  2. Step 2: Convert to fraction form
    2,492.70/3,731.67 = 1,846.32/x
  3. Step 3: Cross multiply
    2,492.70x = 3,731.67 × 1,846.32
  4. Step 4: Simplify right side
    2,492.70x = 6,889,856.95
  5. Step 5: Solve for x
    x = 6,889,856.95/2,492.70
  6. Step 6: Final answer
    x = 2,764.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.