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Finding the Fourth Proportional to 2,992.90, 4,129.99 and 1,648.45

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Solution

The fourth proportional to 2,992.90, 4,129.99 and 1,648.45 is: 2,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.90 : 4,129.99 = 1,648.45 : x
  2. Step 2: Convert to fraction form
    2,992.90/4,129.99 = 1,648.45/x
  3. Step 3: Cross multiply
    2,992.90x = 4,129.99 × 1,648.45
  4. Step 4: Simplify right side
    2,992.90x = 6,808,083.06
  5. Step 5: Solve for x
    x = 6,808,083.06/2,992.90
  6. Step 6: Final answer
    x = 2,274.75

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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.