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Finding the Fourth Proportional to 2,158.42, 2,979.60 and 1,412.41

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Solution

The fourth proportional to 2,158.42, 2,979.60 and 1,412.41 is: 1,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.42 : 2,979.60 = 1,412.41 : x
  2. Step 2: Convert to fraction form
    2,158.42/2,979.60 = 1,412.41/x
  3. Step 3: Cross multiply
    2,158.42x = 2,979.60 × 1,412.41
  4. Step 4: Simplify right side
    2,158.42x = 4,208,416.84
  5. Step 5: Solve for x
    x = 4,208,416.84/2,158.42
  6. Step 6: Final answer
    x = 1,949.77

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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.