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Finding the Fourth Proportional to 2,992.02, 4,129.29 and 1,813.20

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Solution

The fourth proportional to 2,992.02, 4,129.29 and 1,813.20 is: 2,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.02 : 4,129.29 = 1,813.20 : x
  2. Step 2: Convert to fraction form
    2,992.02/4,129.29 = 1,813.20/x
  3. Step 3: Cross multiply
    2,992.02x = 4,129.29 × 1,813.20
  4. Step 4: Simplify right side
    2,992.02x = 7,487,228.63
  5. Step 5: Solve for x
    x = 7,487,228.63/2,992.02
  6. Step 6: Final answer
    x = 2,502.40

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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.