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Finding the Fourth Proportional to 2,671.34, 3,685.64 and 1,552.06

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Solution

The fourth proportional to 2,671.34, 3,685.64 and 1,552.06 is: 2,141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.34 : 3,685.64 = 1,552.06 : x
  2. Step 2: Convert to fraction form
    2,671.34/3,685.64 = 1,552.06/x
  3. Step 3: Cross multiply
    2,671.34x = 3,685.64 × 1,552.06
  4. Step 4: Simplify right side
    2,671.34x = 5,720,334.42
  5. Step 5: Solve for x
    x = 5,720,334.42/2,671.34
  6. Step 6: Final answer
    x = 2,141.37

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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.