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Finding the Fourth Proportional to 2,124.28, 3,185.94 and 585.40

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Solution

The fourth proportional to 2,124.28, 3,185.94 and 585.40 is: 877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.28 : 3,185.94 = 585.40 : x
  2. Step 2: Convert to fraction form
    2,124.28/3,185.94 = 585.40/x
  3. Step 3: Cross multiply
    2,124.28x = 3,185.94 × 585.40
  4. Step 4: Simplify right side
    2,124.28x = 1,865,049.28
  5. Step 5: Solve for x
    x = 1,865,049.28/2,124.28
  6. Step 6: Final answer
    x = 877.97

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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.