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Finding the Fourth Proportional to 1,658.43, 2,486.03 and 1,412.19

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Solution

The fourth proportional to 1,658.43, 2,486.03 and 1,412.19 is: 2,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.43 : 2,486.03 = 1,412.19 : x
  2. Step 2: Convert to fraction form
    1,658.43/2,486.03 = 1,412.19/x
  3. Step 3: Cross multiply
    1,658.43x = 2,486.03 × 1,412.19
  4. Step 4: Simplify right side
    1,658.43x = 3,510,739.64
  5. Step 5: Solve for x
    x = 3,510,739.64/1,658.43
  6. Step 6: Final answer
    x = 2,116.91

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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.