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Finding the Fourth Proportional to 2,902.66, 4,355.64 and 1,172.50

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Solution

The fourth proportional to 2,902.66, 4,355.64 and 1,172.50 is: 1,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.66 : 4,355.64 = 1,172.50 : x
  2. Step 2: Convert to fraction form
    2,902.66/4,355.64 = 1,172.50/x
  3. Step 3: Cross multiply
    2,902.66x = 4,355.64 × 1,172.50
  4. Step 4: Simplify right side
    2,902.66x = 5,106,987.90
  5. Step 5: Solve for x
    x = 5,106,987.90/2,902.66
  6. Step 6: Final answer
    x = 1,759.42

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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.