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Finding the Fourth Proportional to 2,316.28, 3,474.43 and 584.91

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Solution

The fourth proportional to 2,316.28, 3,474.43 and 584.91 is: 877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.28 : 3,474.43 = 584.91 : x
  2. Step 2: Convert to fraction form
    2,316.28/3,474.43 = 584.91/x
  3. Step 3: Cross multiply
    2,316.28x = 3,474.43 × 584.91
  4. Step 4: Simplify right side
    2,316.28x = 2,032,211.48
  5. Step 5: Solve for x
    x = 2,032,211.48/2,316.28
  6. Step 6: Final answer
    x = 877.36

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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.