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Finding the Fourth Proportional to 2,447.23, 3,671.06 and 781.60

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Solution

The fourth proportional to 2,447.23, 3,671.06 and 781.60 is: 1,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.23 : 3,671.06 = 781.60 : x
  2. Step 2: Convert to fraction form
    2,447.23/3,671.06 = 781.60/x
  3. Step 3: Cross multiply
    2,447.23x = 3,671.06 × 781.60
  4. Step 4: Simplify right side
    2,447.23x = 2,869,282.10
  5. Step 5: Solve for x
    x = 2,869,282.10/2,447.23
  6. Step 6: Final answer
    x = 1,172.46

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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.