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Finding the Fourth Proportional to 1,834.98, 2,534.34 and 1,244.49

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Solution

The fourth proportional to 1,834.98, 2,534.34 and 1,244.49 is: 1,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.98 : 2,534.34 = 1,244.49 : x
  2. Step 2: Convert to fraction form
    1,834.98/2,534.34 = 1,244.49/x
  3. Step 3: Cross multiply
    1,834.98x = 2,534.34 × 1,244.49
  4. Step 4: Simplify right side
    1,834.98x = 3,153,960.79
  5. Step 5: Solve for x
    x = 3,153,960.79/1,834.98
  6. Step 6: Final answer
    x = 1,718.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.