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Finding the Fourth Proportional to 2,584.48, 3,875.27 and 941.08

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Solution

The fourth proportional to 2,584.48, 3,875.27 and 941.08 is: 1,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.48 : 3,875.27 = 941.08 : x
  2. Step 2: Convert to fraction form
    2,584.48/3,875.27 = 941.08/x
  3. Step 3: Cross multiply
    2,584.48x = 3,875.27 × 941.08
  4. Step 4: Simplify right side
    2,584.48x = 3,646,922.07
  5. Step 5: Solve for x
    x = 3,646,922.07/2,584.48
  6. Step 6: Final answer
    x = 1,411.09

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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.