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Finding the Fourth Proportional to 2,664.93, 3,678.06 and 1,671.06

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Solution

The fourth proportional to 2,664.93, 3,678.06 and 1,671.06 is: 2,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.93 : 3,678.06 = 1,671.06 : x
  2. Step 2: Convert to fraction form
    2,664.93/3,678.06 = 1,671.06/x
  3. Step 3: Cross multiply
    2,664.93x = 3,678.06 × 1,671.06
  4. Step 4: Simplify right side
    2,664.93x = 6,146,258.94
  5. Step 5: Solve for x
    x = 6,146,258.94/2,664.93
  6. Step 6: Final answer
    x = 2,306.35

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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.