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Finding the Fourth Proportional to 2,992.58, 4,130.46 and 1,813.41

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Solution

The fourth proportional to 2,992.58, 4,130.46 and 1,813.41 is: 2,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.58 : 4,130.46 = 1,813.41 : x
  2. Step 2: Convert to fraction form
    2,992.58/4,130.46 = 1,813.41/x
  3. Step 3: Cross multiply
    2,992.58x = 4,130.46 × 1,813.41
  4. Step 4: Simplify right side
    2,992.58x = 7,490,217.47
  5. Step 5: Solve for x
    x = 7,490,217.47/2,992.58
  6. Step 6: Final answer
    x = 2,502.93

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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.