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Finding the Fourth Proportional to 1,722.07, 2,376.45 and 936.13

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Solution

The fourth proportional to 1,722.07, 2,376.45 and 936.13 is: 1,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.07 : 2,376.45 = 936.13 : x
  2. Step 2: Convert to fraction form
    1,722.07/2,376.45 = 936.13/x
  3. Step 3: Cross multiply
    1,722.07x = 2,376.45 × 936.13
  4. Step 4: Simplify right side
    1,722.07x = 2,224,666.14
  5. Step 5: Solve for x
    x = 2,224,666.14/1,722.07
  6. Step 6: Final answer
    x = 1,291.86

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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.