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Finding the Fourth Proportional to 4,492.99, 6,738.58 and 1,205.32

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Solution

The fourth proportional to 4,492.99, 6,738.58 and 1,205.32 is: 1,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.99 : 6,738.58 = 1,205.32 : x
  2. Step 2: Convert to fraction form
    4,492.99/6,738.58 = 1,205.32/x
  3. Step 3: Cross multiply
    4,492.99x = 6,738.58 × 1,205.32
  4. Step 4: Simplify right side
    4,492.99x = 8,122,139.22
  5. Step 5: Solve for x
    x = 8,122,139.22/4,492.99
  6. Step 6: Final answer
    x = 1,807.74

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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.