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Finding the Fourth Proportional to 2,482.11, 3,720.77 and 837.53

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Solution

The fourth proportional to 2,482.11, 3,720.77 and 837.53 is: 1,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.11 : 3,720.77 = 837.53 : x
  2. Step 2: Convert to fraction form
    2,482.11/3,720.77 = 837.53/x
  3. Step 3: Cross multiply
    2,482.11x = 3,720.77 × 837.53
  4. Step 4: Simplify right side
    2,482.11x = 3,116,256.50
  5. Step 5: Solve for x
    x = 3,116,256.50/2,482.11
  6. Step 6: Final answer
    x = 1,255.49

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1.5x scale

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.