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Finding the Fourth Proportional to 2,119.71, 2,924.92 and 1,223.48

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Solution

The fourth proportional to 2,119.71, 2,924.92 and 1,223.48 is: 1,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.71 : 2,924.92 = 1,223.48 : x
  2. Step 2: Convert to fraction form
    2,119.71/2,924.92 = 1,223.48/x
  3. Step 3: Cross multiply
    2,119.71x = 2,924.92 × 1,223.48
  4. Step 4: Simplify right side
    2,119.71x = 3,578,581.12
  5. Step 5: Solve for x
    x = 3,578,581.12/2,119.71
  6. Step 6: Final answer
    x = 1,688.24

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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.