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Finding the Fourth Proportional to 1,666.50, 2,299.77 and 930.50

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Solution

The fourth proportional to 1,666.50, 2,299.77 and 930.50 is: 1,284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.50 : 2,299.77 = 930.50 : x
  2. Step 2: Convert to fraction form
    1,666.50/2,299.77 = 930.50/x
  3. Step 3: Cross multiply
    1,666.50x = 2,299.77 × 930.50
  4. Step 4: Simplify right side
    1,666.50x = 2,139,935.99
  5. Step 5: Solve for x
    x = 2,139,935.99/1,666.50
  6. Step 6: Final answer
    x = 1,284.09

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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.