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Finding the Fourth Proportional to 2,085.76, 3,129.72 and 931.24

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Solution

The fourth proportional to 2,085.76, 3,129.72 and 931.24 is: 1,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.76 : 3,129.72 = 931.24 : x
  2. Step 2: Convert to fraction form
    2,085.76/3,129.72 = 931.24/x
  3. Step 3: Cross multiply
    2,085.76x = 3,129.72 × 931.24
  4. Step 4: Simplify right side
    2,085.76x = 2,914,520.45
  5. Step 5: Solve for x
    x = 2,914,520.45/2,085.76
  6. Step 6: Final answer
    x = 1,397.34

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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.