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Finding the Fourth Proportional to 2,114.90, 3,172.35 and 554.80

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Solution

The fourth proportional to 2,114.90, 3,172.35 and 554.80 is: 832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.90 : 3,172.35 = 554.80 : x
  2. Step 2: Convert to fraction form
    2,114.90/3,172.35 = 554.80/x
  3. Step 3: Cross multiply
    2,114.90x = 3,172.35 × 554.80
  4. Step 4: Simplify right side
    2,114.90x = 1,760,019.78
  5. Step 5: Solve for x
    x = 1,760,019.78/2,114.90
  6. Step 6: Final answer
    x = 832.20

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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.