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Finding the Fourth Proportional to 2,320.96, 3,202.86 and 1,273

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Solution

The fourth proportional to 2,320.96, 3,202.86 and 1,273 is: 1,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.96 : 3,202.86 = 1,273 : x
  2. Step 2: Convert to fraction form
    2,320.96/3,202.86 = 1,273/x
  3. Step 3: Cross multiply
    2,320.96x = 3,202.86 × 1,273
  4. Step 4: Simplify right side
    2,320.96x = 4,077,240.78
  5. Step 5: Solve for x
    x = 4,077,240.78/2,320.96
  6. Step 6: Final answer
    x = 1,756.70

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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.