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Finding the Fourth Proportional to 2,085.87, 3,127.96 and 930.81

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Solution

The fourth proportional to 2,085.87, 3,127.96 and 930.81 is: 1,395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.87 : 3,127.96 = 930.81 : x
  2. Step 2: Convert to fraction form
    2,085.87/3,127.96 = 930.81/x
  3. Step 3: Cross multiply
    2,085.87x = 3,127.96 × 930.81
  4. Step 4: Simplify right side
    2,085.87x = 2,911,536.45
  5. Step 5: Solve for x
    x = 2,911,536.45/2,085.87
  6. Step 6: Final answer
    x = 1,395.84

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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.