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Finding the Fourth Proportional to 2,158.83, 2,979.11 and 1,214.64

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Solution

The fourth proportional to 2,158.83, 2,979.11 and 1,214.64 is: 1,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.83 : 2,979.11 = 1,214.64 : x
  2. Step 2: Convert to fraction form
    2,158.83/2,979.11 = 1,214.64/x
  3. Step 3: Cross multiply
    2,158.83x = 2,979.11 × 1,214.64
  4. Step 4: Simplify right side
    2,158.83x = 3,618,549.21
  5. Step 5: Solve for x
    x = 3,618,549.21/2,158.83
  6. Step 6: Final answer
    x = 1,676.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.