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Finding the Fourth Proportional to 1,724.23, 2,582.21 and 943.06

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Solution

The fourth proportional to 1,724.23, 2,582.21 and 943.06 is: 1,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.23 : 2,582.21 = 943.06 : x
  2. Step 2: Convert to fraction form
    1,724.23/2,582.21 = 943.06/x
  3. Step 3: Cross multiply
    1,724.23x = 2,582.21 × 943.06
  4. Step 4: Simplify right side
    1,724.23x = 2,435,161.34
  5. Step 5: Solve for x
    x = 2,435,161.34/1,724.23
  6. Step 6: Final answer
    x = 1,412.32

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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.