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Finding the Fourth Proportional to 2,834.36, 4,250.52 and 985

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Solution

The fourth proportional to 2,834.36, 4,250.52 and 985 is: 1,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.36 : 4,250.52 = 985 : x
  2. Step 2: Convert to fraction form
    2,834.36/4,250.52 = 985/x
  3. Step 3: Cross multiply
    2,834.36x = 4,250.52 × 985
  4. Step 4: Simplify right side
    2,834.36x = 4,186,762.20
  5. Step 5: Solve for x
    x = 4,186,762.20/2,834.36
  6. Step 6: Final answer
    x = 1,477.15

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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.