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Finding the Fourth Proportional to 2,298.74, 3,172.50 and 1,354.83

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Solution

The fourth proportional to 2,298.74, 3,172.50 and 1,354.83 is: 1,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.74 : 3,172.50 = 1,354.83 : x
  2. Step 2: Convert to fraction form
    2,298.74/3,172.50 = 1,354.83/x
  3. Step 3: Cross multiply
    2,298.74x = 3,172.50 × 1,354.83
  4. Step 4: Simplify right side
    2,298.74x = 4,298,198.18
  5. Step 5: Solve for x
    x = 4,298,198.18/2,298.74
  6. Step 6: Final answer
    x = 1,869.81

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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.