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Finding the Fourth Proportional to 1,523.95, 2,103.05 and 825.32

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Solution

The fourth proportional to 1,523.95, 2,103.05 and 825.32 is: 1,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.95 : 2,103.05 = 825.32 : x
  2. Step 2: Convert to fraction form
    1,523.95/2,103.05 = 825.32/x
  3. Step 3: Cross multiply
    1,523.95x = 2,103.05 × 825.32
  4. Step 4: Simplify right side
    1,523.95x = 1,735,696.55
  5. Step 5: Solve for x
    x = 1,735,696.55/1,523.95
  6. Step 6: Final answer
    x = 1,138.95

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Why These Related Problems?

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