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Finding the Fourth Proportional to 2,716.93, 4,074.18 and 1,256.50

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Solution

The fourth proportional to 2,716.93, 4,074.18 and 1,256.50 is: 1,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.93 : 4,074.18 = 1,256.50 : x
  2. Step 2: Convert to fraction form
    2,716.93/4,074.18 = 1,256.50/x
  3. Step 3: Cross multiply
    2,716.93x = 4,074.18 × 1,256.50
  4. Step 4: Simplify right side
    2,716.93x = 5,119,207.17
  5. Step 5: Solve for x
    x = 5,119,207.17/2,716.93
  6. Step 6: Final answer
    x = 1,884.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.