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Finding the Fourth Proportional to 2,298.90, 3,447.09 and 910.83

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Solution

The fourth proportional to 2,298.90, 3,447.09 and 910.83 is: 1,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.90 : 3,447.09 = 910.83 : x
  2. Step 2: Convert to fraction form
    2,298.90/3,447.09 = 910.83/x
  3. Step 3: Cross multiply
    2,298.90x = 3,447.09 × 910.83
  4. Step 4: Simplify right side
    2,298.90x = 3,139,712.98
  5. Step 5: Solve for x
    x = 3,139,712.98/2,298.90
  6. Step 6: Final answer
    x = 1,365.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.