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Finding the Fourth Proportional to 2,297.96, 3,426.35 and 2,256.50

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Solution

The fourth proportional to 2,297.96, 3,426.35 and 2,256.50 is: 3,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.96 : 3,426.35 = 2,256.50 : x
  2. Step 2: Convert to fraction form
    2,297.96/3,426.35 = 2,256.50/x
  3. Step 3: Cross multiply
    2,297.96x = 3,426.35 × 2,256.50
  4. Step 4: Simplify right side
    2,297.96x = 7,731,558.78
  5. Step 5: Solve for x
    x = 7,731,558.78/2,297.96
  6. Step 6: Final answer
    x = 3,364.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.