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Finding the Fourth Proportional to 2,456.51, 3,684.71 and 995.67

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Solution

The fourth proportional to 2,456.51, 3,684.71 and 995.67 is: 1,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.51 : 3,684.71 = 995.67 : x
  2. Step 2: Convert to fraction form
    2,456.51/3,684.71 = 995.67/x
  3. Step 3: Cross multiply
    2,456.51x = 3,684.71 × 995.67
  4. Step 4: Simplify right side
    2,456.51x = 3,668,750.23
  5. Step 5: Solve for x
    x = 3,668,750.23/2,456.51
  6. Step 6: Final answer
    x = 1,493.48

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1.5x scale

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.