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Finding the Fourth Proportional to 1,523.49, 2,103.40 and 1,244.40

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Solution

The fourth proportional to 1,523.49, 2,103.40 and 1,244.40 is: 1,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.49 : 2,103.40 = 1,244.40 : x
  2. Step 2: Convert to fraction form
    1,523.49/2,103.40 = 1,244.40/x
  3. Step 3: Cross multiply
    1,523.49x = 2,103.40 × 1,244.40
  4. Step 4: Simplify right side
    1,523.49x = 2,617,467.85
  5. Step 5: Solve for x
    x = 2,617,467.85/1,523.49
  6. Step 6: Final answer
    x = 1,718.07

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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.