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Finding the Fourth Proportional to 3,309.68, 4,966.74 and 1,461.33

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Solution

The fourth proportional to 3,309.68, 4,966.74 and 1,461.33 is: 2,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.68 : 4,966.74 = 1,461.33 : x
  2. Step 2: Convert to fraction form
    3,309.68/4,966.74 = 1,461.33/x
  3. Step 3: Cross multiply
    3,309.68x = 4,966.74 × 1,461.33
  4. Step 4: Simplify right side
    3,309.68x = 7,258,046.16
  5. Step 5: Solve for x
    x = 7,258,046.16/3,309.68
  6. Step 6: Final answer
    x = 2,192.98

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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.