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Finding the Fourth Proportional to 2,318.55, 3,199.64 and 1,256.34

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Solution

The fourth proportional to 2,318.55, 3,199.64 and 1,256.34 is: 1,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.55 : 3,199.64 = 1,256.34 : x
  2. Step 2: Convert to fraction form
    2,318.55/3,199.64 = 1,256.34/x
  3. Step 3: Cross multiply
    2,318.55x = 3,199.64 × 1,256.34
  4. Step 4: Simplify right side
    2,318.55x = 4,019,819.74
  5. Step 5: Solve for x
    x = 4,019,819.74/2,318.55
  6. Step 6: Final answer
    x = 1,733.77

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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.