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Finding the Fourth Proportional to 2,714.75, 3,746.36 and 1,472.75

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Solution

The fourth proportional to 2,714.75, 3,746.36 and 1,472.75 is: 2,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.75 : 3,746.36 = 1,472.75 : x
  2. Step 2: Convert to fraction form
    2,714.75/3,746.36 = 1,472.75/x
  3. Step 3: Cross multiply
    2,714.75x = 3,746.36 × 1,472.75
  4. Step 4: Simplify right side
    2,714.75x = 5,517,451.69
  5. Step 5: Solve for x
    x = 5,517,451.69/2,714.75
  6. Step 6: Final answer
    x = 2,032.40

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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.