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Finding the Fourth Proportional to 2,671.32, 3,686.41 and 1,460

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Solution

The fourth proportional to 2,671.32, 3,686.41 and 1,460 is: 2,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.32 : 3,686.41 = 1,460 : x
  2. Step 2: Convert to fraction form
    2,671.32/3,686.41 = 1,460/x
  3. Step 3: Cross multiply
    2,671.32x = 3,686.41 × 1,460
  4. Step 4: Simplify right side
    2,671.32x = 5,382,158.60
  5. Step 5: Solve for x
    x = 5,382,158.60/2,671.32
  6. Step 6: Final answer
    x = 2,014.79

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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.