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Finding the Fourth Proportional to 3,173.35, 4,763.10 and 1,531.05

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Solution

The fourth proportional to 3,173.35, 4,763.10 and 1,531.05 is: 2,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.35 : 4,763.10 = 1,531.05 : x
  2. Step 2: Convert to fraction form
    3,173.35/4,763.10 = 1,531.05/x
  3. Step 3: Cross multiply
    3,173.35x = 4,763.10 × 1,531.05
  4. Step 4: Simplify right side
    3,173.35x = 7,292,529.58
  5. Step 5: Solve for x
    x = 7,292,529.58/3,173.35
  6. Step 6: Final answer
    x = 2,298.06

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