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Finding the Fourth Proportional to 1,884.70, 2,827.41 and 586.18

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Solution

The fourth proportional to 1,884.70, 2,827.41 and 586.18 is: 879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.70 : 2,827.41 = 586.18 : x
  2. Step 2: Convert to fraction form
    1,884.70/2,827.41 = 586.18/x
  3. Step 3: Cross multiply
    1,884.70x = 2,827.41 × 586.18
  4. Step 4: Simplify right side
    1,884.70x = 1,657,371.19
  5. Step 5: Solve for x
    x = 1,657,371.19/1,884.70
  6. Step 6: Final answer
    x = 879.38

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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.