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Finding the Fourth Proportional to 2,091, 3,136.56 and 552

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Solution

The fourth proportional to 2,091, 3,136.56 and 552 is: 828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091 : 3,136.56 = 552 : x
  2. Step 2: Convert to fraction form
    2,091/3,136.56 = 552/x
  3. Step 3: Cross multiply
    2,091x = 3,136.56 × 552
  4. Step 4: Simplify right side
    2,091x = 1,731,381.12
  5. Step 5: Solve for x
    x = 1,731,381.12/2,091
  6. Step 6: Final answer
    x = 828.02

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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.