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Finding the Fourth Proportional to 2,671.66, 3,686.97 and 1,492.93

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Solution

The fourth proportional to 2,671.66, 3,686.97 and 1,492.93 is: 2,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.66 : 3,686.97 = 1,492.93 : x
  2. Step 2: Convert to fraction form
    2,671.66/3,686.97 = 1,492.93/x
  3. Step 3: Cross multiply
    2,671.66x = 3,686.97 × 1,492.93
  4. Step 4: Simplify right side
    2,671.66x = 5,504,388.12
  5. Step 5: Solve for x
    x = 5,504,388.12/2,671.66
  6. Step 6: Final answer
    x = 2,060.29

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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.