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Finding the Fourth Proportional to 2,482.02, 3,720.71 and 837.41

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Solution

The fourth proportional to 2,482.02, 3,720.71 and 837.41 is: 1,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.02 : 3,720.71 = 837.41 : x
  2. Step 2: Convert to fraction form
    2,482.02/3,720.71 = 837.41/x
  3. Step 3: Cross multiply
    2,482.02x = 3,720.71 × 837.41
  4. Step 4: Simplify right side
    2,482.02x = 3,115,772.29
  5. Step 5: Solve for x
    x = 3,115,772.29/2,482.02
  6. Step 6: Final answer
    x = 1,255.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.