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Finding the Fourth Proportional to 1,596.71, 2,203.29 and 967.50

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Solution

The fourth proportional to 1,596.71, 2,203.29 and 967.50 is: 1,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.71 : 2,203.29 = 967.50 : x
  2. Step 2: Convert to fraction form
    1,596.71/2,203.29 = 967.50/x
  3. Step 3: Cross multiply
    1,596.71x = 2,203.29 × 967.50
  4. Step 4: Simplify right side
    1,596.71x = 2,131,683.08
  5. Step 5: Solve for x
    x = 2,131,683.08/1,596.71
  6. Step 6: Final answer
    x = 1,335.05

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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.