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Finding the Fourth Proportional to 2,316.14, 3,474.22 and 584.78

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Solution

The fourth proportional to 2,316.14, 3,474.22 and 584.78 is: 877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.14 : 3,474.22 = 584.78 : x
  2. Step 2: Convert to fraction form
    2,316.14/3,474.22 = 584.78/x
  3. Step 3: Cross multiply
    2,316.14x = 3,474.22 × 584.78
  4. Step 4: Simplify right side
    2,316.14x = 2,031,654.37
  5. Step 5: Solve for x
    x = 2,031,654.37/2,316.14
  6. Step 6: Final answer
    x = 877.17

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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.