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Finding the Fourth Proportional to 2,463.63, 3,400.47 and 1,666.59

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Solution

The fourth proportional to 2,463.63, 3,400.47 and 1,666.59 is: 2,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.63 : 3,400.47 = 1,666.59 : x
  2. Step 2: Convert to fraction form
    2,463.63/3,400.47 = 1,666.59/x
  3. Step 3: Cross multiply
    2,463.63x = 3,400.47 × 1,666.59
  4. Step 4: Simplify right side
    2,463.63x = 5,667,189.30
  5. Step 5: Solve for x
    x = 5,667,189.30/2,463.63
  6. Step 6: Final answer
    x = 2,300.34

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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.