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Finding the Fourth Proportional to 2,888.69, 4,333.04 and 697.42

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Solution

The fourth proportional to 2,888.69, 4,333.04 and 697.42 is: 1,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.69 : 4,333.04 = 697.42 : x
  2. Step 2: Convert to fraction form
    2,888.69/4,333.04 = 697.42/x
  3. Step 3: Cross multiply
    2,888.69x = 4,333.04 × 697.42
  4. Step 4: Simplify right side
    2,888.69x = 3,021,926.22
  5. Step 5: Solve for x
    x = 3,021,926.22/2,888.69
  6. Step 6: Final answer
    x = 1,046.12

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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.