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Finding the Fourth Proportional to 2,671.20, 3,686.40 and 1,551.60

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Solution

The fourth proportional to 2,671.20, 3,686.40 and 1,551.60 is: 2,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.20 : 3,686.40 = 1,551.60 : x
  2. Step 2: Convert to fraction form
    2,671.20/3,686.40 = 1,551.60/x
  3. Step 3: Cross multiply
    2,671.20x = 3,686.40 × 1,551.60
  4. Step 4: Simplify right side
    2,671.20x = 5,719,818.24
  5. Step 5: Solve for x
    x = 5,719,818.24/2,671.20
  6. Step 6: Final answer
    x = 2,141.29

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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.