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Finding the Fourth Proportional to 1,753.86, 2,629.86 and 1,023.66

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Solution

The fourth proportional to 1,753.86, 2,629.86 and 1,023.66 is: 1,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.86 : 2,629.86 = 1,023.66 : x
  2. Step 2: Convert to fraction form
    1,753.86/2,629.86 = 1,023.66/x
  3. Step 3: Cross multiply
    1,753.86x = 2,629.86 × 1,023.66
  4. Step 4: Simplify right side
    1,753.86x = 2,692,082.49
  5. Step 5: Solve for x
    x = 2,692,082.49/1,753.86
  6. Step 6: Final answer
    x = 1,534.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.