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Finding the Fourth Proportional to 2,671.62, 3,686.86 and 1,492.94

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Solution

The fourth proportional to 2,671.62, 3,686.86 and 1,492.94 is: 2,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.62 : 3,686.86 = 1,492.94 : x
  2. Step 2: Convert to fraction form
    2,671.62/3,686.86 = 1,492.94/x
  3. Step 3: Cross multiply
    2,671.62x = 3,686.86 × 1,492.94
  4. Step 4: Simplify right side
    2,671.62x = 5,504,260.77
  5. Step 5: Solve for x
    x = 5,504,260.77/2,671.62
  6. Step 6: Final answer
    x = 2,060.27

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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.