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Finding the Fourth Proportional to 2,084.56, 3,114.90 and 1,588.22

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Solution

The fourth proportional to 2,084.56, 3,114.90 and 1,588.22 is: 2,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.56 : 3,114.90 = 1,588.22 : x
  2. Step 2: Convert to fraction form
    2,084.56/3,114.90 = 1,588.22/x
  3. Step 3: Cross multiply
    2,084.56x = 3,114.90 × 1,588.22
  4. Step 4: Simplify right side
    2,084.56x = 4,947,146.48
  5. Step 5: Solve for x
    x = 4,947,146.48/2,084.56
  6. Step 6: Final answer
    x = 2,373.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.