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Finding the Fourth Proportional to 2,173.53, 3,261.21 and 874.68

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Solution

The fourth proportional to 2,173.53, 3,261.21 and 874.68 is: 1,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.53 : 3,261.21 = 874.68 : x
  2. Step 2: Convert to fraction form
    2,173.53/3,261.21 = 874.68/x
  3. Step 3: Cross multiply
    2,173.53x = 3,261.21 × 874.68
  4. Step 4: Simplify right side
    2,173.53x = 2,852,515.16
  5. Step 5: Solve for x
    x = 2,852,515.16/2,173.53
  6. Step 6: Final answer
    x = 1,312.39

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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.