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Finding the Fourth Proportional to 2,777.44, 3,828.92 and 1,714.52

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Solution

The fourth proportional to 2,777.44, 3,828.92 and 1,714.52 is: 2,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.44 : 3,828.92 = 1,714.52 : x
  2. Step 2: Convert to fraction form
    2,777.44/3,828.92 = 1,714.52/x
  3. Step 3: Cross multiply
    2,777.44x = 3,828.92 × 1,714.52
  4. Step 4: Simplify right side
    2,777.44x = 6,564,749.02
  5. Step 5: Solve for x
    x = 6,564,749.02/2,777.44
  6. Step 6: Final answer
    x = 2,363.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.