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Finding the Fourth Proportional to 4,492.74, 6,738.49 and 1,205.88

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Solution

The fourth proportional to 4,492.74, 6,738.49 and 1,205.88 is: 1,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.74 : 6,738.49 = 1,205.88 : x
  2. Step 2: Convert to fraction form
    4,492.74/6,738.49 = 1,205.88/x
  3. Step 3: Cross multiply
    4,492.74x = 6,738.49 × 1,205.88
  4. Step 4: Simplify right side
    4,492.74x = 8,125,810.32
  5. Step 5: Solve for x
    x = 8,125,810.32/4,492.74
  6. Step 6: Final answer
    x = 1,808.65

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