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Finding the Fourth Proportional to 1,852.96, 2,777.52 and 1,276

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Solution

The fourth proportional to 1,852.96, 2,777.52 and 1,276 is: 1,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.96 : 2,777.52 = 1,276 : x
  2. Step 2: Convert to fraction form
    1,852.96/2,777.52 = 1,276/x
  3. Step 3: Cross multiply
    1,852.96x = 2,777.52 × 1,276
  4. Step 4: Simplify right side
    1,852.96x = 3,544,115.52
  5. Step 5: Solve for x
    x = 3,544,115.52/1,852.96
  6. Step 6: Final answer
    x = 1,912.68

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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.