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Finding the Fourth Proportional to 1,722.91, 2,376.85 and 1,023.88

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Solution

The fourth proportional to 1,722.91, 2,376.85 and 1,023.88 is: 1,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.91 : 2,376.85 = 1,023.88 : x
  2. Step 2: Convert to fraction form
    1,722.91/2,376.85 = 1,023.88/x
  3. Step 3: Cross multiply
    1,722.91x = 2,376.85 × 1,023.88
  4. Step 4: Simplify right side
    1,722.91x = 2,433,609.18
  5. Step 5: Solve for x
    x = 2,433,609.18/1,722.91
  6. Step 6: Final answer
    x = 1,412.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.