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Finding the Fourth Proportional to 1,658.96, 2,490.13 and 1,369.47

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Solution

The fourth proportional to 1,658.96, 2,490.13 and 1,369.47 is: 2,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.96 : 2,490.13 = 1,369.47 : x
  2. Step 2: Convert to fraction form
    1,658.96/2,490.13 = 1,369.47/x
  3. Step 3: Cross multiply
    1,658.96x = 2,490.13 × 1,369.47
  4. Step 4: Simplify right side
    1,658.96x = 3,410,158.33
  5. Step 5: Solve for x
    x = 3,410,158.33/1,658.96
  6. Step 6: Final answer
    x = 2,055.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.