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Finding the Fourth Proportional to 1,722.35, 2,376.33 and 976.29

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Solution

The fourth proportional to 1,722.35, 2,376.33 and 976.29 is: 1,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.35 : 2,376.33 = 976.29 : x
  2. Step 2: Convert to fraction form
    1,722.35/2,376.33 = 976.29/x
  3. Step 3: Cross multiply
    1,722.35x = 2,376.33 × 976.29
  4. Step 4: Simplify right side
    1,722.35x = 2,319,987.22
  5. Step 5: Solve for x
    x = 2,319,987.22/1,722.35
  6. Step 6: Final answer
    x = 1,346.99

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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.