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Finding the Fourth Proportional to 1,754.87, 2,632.30 and 1,647.95

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Solution

The fourth proportional to 1,754.87, 2,632.30 and 1,647.95 is: 2,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.87 : 2,632.30 = 1,647.95 : x
  2. Step 2: Convert to fraction form
    1,754.87/2,632.30 = 1,647.95/x
  3. Step 3: Cross multiply
    1,754.87x = 2,632.30 × 1,647.95
  4. Step 4: Simplify right side
    1,754.87x = 4,337,881.50
  5. Step 5: Solve for x
    x = 4,337,881.50/1,754.87
  6. Step 6: Final answer
    x = 2,471.92

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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.