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Finding the Fourth Proportional to 2,553, 3,829.50 and 704.13

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Solution

The fourth proportional to 2,553, 3,829.50 and 704.13 is: 1,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553 : 3,829.50 = 704.13 : x
  2. Step 2: Convert to fraction form
    2,553/3,829.50 = 704.13/x
  3. Step 3: Cross multiply
    2,553x = 3,829.50 × 704.13
  4. Step 4: Simplify right side
    2,553x = 2,696,465.84
  5. Step 5: Solve for x
    x = 2,696,465.84/2,553
  6. Step 6: Final answer
    x = 1,056.20

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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.