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Finding the Fourth Proportional to 4,492.84, 6,739.25 and 1,205.66

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Solution

The fourth proportional to 4,492.84, 6,739.25 and 1,205.66 is: 1,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.84 : 6,739.25 = 1,205.66 : x
  2. Step 2: Convert to fraction form
    4,492.84/6,739.25 = 1,205.66/x
  3. Step 3: Cross multiply
    4,492.84x = 6,739.25 × 1,205.66
  4. Step 4: Simplify right side
    4,492.84x = 8,125,242.80
  5. Step 5: Solve for x
    x = 8,125,242.80/4,492.84
  6. Step 6: Final answer
    x = 1,808.49

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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.