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Finding the Fourth Proportional to 1,492.94, 2,059.79 and 995.67

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Solution

The fourth proportional to 1,492.94, 2,059.79 and 995.67 is: 1,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.94 : 2,059.79 = 995.67 : x
  2. Step 2: Convert to fraction form
    1,492.94/2,059.79 = 995.67/x
  3. Step 3: Cross multiply
    1,492.94x = 2,059.79 × 995.67
  4. Step 4: Simplify right side
    1,492.94x = 2,050,866.13
  5. Step 5: Solve for x
    x = 2,050,866.13/1,492.94
  6. Step 6: Final answer
    x = 1,373.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.