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Finding the Fourth Proportional to 2,503.91, 3,456.61 and 1,666.01

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Solution

The fourth proportional to 2,503.91, 3,456.61 and 1,666.01 is: 2,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.91 : 3,456.61 = 1,666.01 : x
  2. Step 2: Convert to fraction form
    2,503.91/3,456.61 = 1,666.01/x
  3. Step 3: Cross multiply
    2,503.91x = 3,456.61 × 1,666.01
  4. Step 4: Simplify right side
    2,503.91x = 5,758,751.30
  5. Step 5: Solve for x
    x = 5,758,751.30/2,503.91
  6. Step 6: Final answer
    x = 2,299.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.