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Finding the Fourth Proportional to 3,602.67, 4,971.69 and 1,946.67

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Solution

The fourth proportional to 3,602.67, 4,971.69 and 1,946.67 is: 2,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.67 : 4,971.69 = 1,946.67 : x
  2. Step 2: Convert to fraction form
    3,602.67/4,971.69 = 1,946.67/x
  3. Step 3: Cross multiply
    3,602.67x = 4,971.69 × 1,946.67
  4. Step 4: Simplify right side
    3,602.67x = 9,678,249.09
  5. Step 5: Solve for x
    x = 9,678,249.09/3,602.67
  6. Step 6: Final answer
    x = 2,686.41

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1.5x scale

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.