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Finding the Fourth Proportional to 1,723.34, 2,378.36 and 1,060.36

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Solution

The fourth proportional to 1,723.34, 2,378.36 and 1,060.36 is: 1,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.34 : 2,378.36 = 1,060.36 : x
  2. Step 2: Convert to fraction form
    1,723.34/2,378.36 = 1,060.36/x
  3. Step 3: Cross multiply
    1,723.34x = 2,378.36 × 1,060.36
  4. Step 4: Simplify right side
    1,723.34x = 2,521,917.81
  5. Step 5: Solve for x
    x = 2,521,917.81/1,723.34
  6. Step 6: Final answer
    x = 1,463.39

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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.