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Finding the Fourth Proportional to 2,552.69, 3,829.10 and 704

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Solution

The fourth proportional to 2,552.69, 3,829.10 and 704 is: 1,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.69 : 3,829.10 = 704 : x
  2. Step 2: Convert to fraction form
    2,552.69/3,829.10 = 704/x
  3. Step 3: Cross multiply
    2,552.69x = 3,829.10 × 704
  4. Step 4: Simplify right side
    2,552.69x = 2,695,686.40
  5. Step 5: Solve for x
    x = 2,695,686.40/2,552.69
  6. Step 6: Final answer
    x = 1,056.02

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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.