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Finding the Fourth Proportional to 1,597.92, 2,203.47 and 1,450.50

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Solution

The fourth proportional to 1,597.92, 2,203.47 and 1,450.50 is: 2,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.92 : 2,203.47 = 1,450.50 : x
  2. Step 2: Convert to fraction form
    1,597.92/2,203.47 = 1,450.50/x
  3. Step 3: Cross multiply
    1,597.92x = 2,203.47 × 1,450.50
  4. Step 4: Simplify right side
    1,597.92x = 3,196,133.24
  5. Step 5: Solve for x
    x = 3,196,133.24/1,597.92
  6. Step 6: Final answer
    x = 2,000.18

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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.