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Finding the Fourth Proportional to 2,085.54, 3,127.35 and 786.18

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Solution

The fourth proportional to 2,085.54, 3,127.35 and 786.18 is: 1,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.54 : 3,127.35 = 786.18 : x
  2. Step 2: Convert to fraction form
    2,085.54/3,127.35 = 786.18/x
  3. Step 3: Cross multiply
    2,085.54x = 3,127.35 × 786.18
  4. Step 4: Simplify right side
    2,085.54x = 2,458,660.02
  5. Step 5: Solve for x
    x = 2,458,660.02/2,085.54
  6. Step 6: Final answer
    x = 1,178.91

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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.