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Finding the Fourth Proportional to 2,664.92, 3,678.06 and 1,671.05

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Solution

The fourth proportional to 2,664.92, 3,678.06 and 1,671.05 is: 2,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.92 : 3,678.06 = 1,671.05 : x
  2. Step 2: Convert to fraction form
    2,664.92/3,678.06 = 1,671.05/x
  3. Step 3: Cross multiply
    2,664.92x = 3,678.06 × 1,671.05
  4. Step 4: Simplify right side
    2,664.92x = 6,146,222.16
  5. Step 5: Solve for x
    x = 6,146,222.16/2,664.92
  6. Step 6: Final answer
    x = 2,306.34

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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.