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Finding the Fourth Proportional to 1,666, 2,498.88 and 651.80

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Solution

The fourth proportional to 1,666, 2,498.88 and 651.80 is: 977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666 : 2,498.88 = 651.80 : x
  2. Step 2: Convert to fraction form
    1,666/2,498.88 = 651.80/x
  3. Step 3: Cross multiply
    1,666x = 2,498.88 × 651.80
  4. Step 4: Simplify right side
    1,666x = 1,628,769.98
  5. Step 5: Solve for x
    x = 1,628,769.98/1,666
  6. Step 6: Final answer
    x = 977.65

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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.