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Finding the Fourth Proportional to 2,834.49, 4,250.70 and 985.14

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Solution

The fourth proportional to 2,834.49, 4,250.70 and 985.14 is: 1,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.49 : 4,250.70 = 985.14 : x
  2. Step 2: Convert to fraction form
    2,834.49/4,250.70 = 985.14/x
  3. Step 3: Cross multiply
    2,834.49x = 4,250.70 × 985.14
  4. Step 4: Simplify right side
    2,834.49x = 4,187,534.60
  5. Step 5: Solve for x
    x = 4,187,534.60/2,834.49
  6. Step 6: Final answer
    x = 1,477.35

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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.