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Finding the Fourth Proportional to 1,665.96, 2,485.47 and 1,499.90

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Solution

The fourth proportional to 1,665.96, 2,485.47 and 1,499.90 is: 2,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.96 : 2,485.47 = 1,499.90 : x
  2. Step 2: Convert to fraction form
    1,665.96/2,485.47 = 1,499.90/x
  3. Step 3: Cross multiply
    1,665.96x = 2,485.47 × 1,499.90
  4. Step 4: Simplify right side
    1,665.96x = 3,727,944.03
  5. Step 5: Solve for x
    x = 3,727,944.03/1,665.96
  6. Step 6: Final answer
    x = 2,237.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.