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Finding the Fourth Proportional to 1,596.71, 2,204.54 and 1,223.03

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Solution

The fourth proportional to 1,596.71, 2,204.54 and 1,223.03 is: 1,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.71 : 2,204.54 = 1,223.03 : x
  2. Step 2: Convert to fraction form
    1,596.71/2,204.54 = 1,223.03/x
  3. Step 3: Cross multiply
    1,596.71x = 2,204.54 × 1,223.03
  4. Step 4: Simplify right side
    1,596.71x = 2,696,201.42
  5. Step 5: Solve for x
    x = 2,696,201.42/1,596.71
  6. Step 6: Final answer
    x = 1,688.60

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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.