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Finding the Fourth Proportional to 2,139.96, 2,953.85 and 1,255.74

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Solution

The fourth proportional to 2,139.96, 2,953.85 and 1,255.74 is: 1,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.96 : 2,953.85 = 1,255.74 : x
  2. Step 2: Convert to fraction form
    2,139.96/2,953.85 = 1,255.74/x
  3. Step 3: Cross multiply
    2,139.96x = 2,953.85 × 1,255.74
  4. Step 4: Simplify right side
    2,139.96x = 3,709,267.60
  5. Step 5: Solve for x
    x = 3,709,267.60/2,139.96
  6. Step 6: Final answer
    x = 1,733.34

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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.