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Finding the Fourth Proportional to 1,824.63, 2,518.21 and 1,079.22

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Solution

The fourth proportional to 1,824.63, 2,518.21 and 1,079.22 is: 1,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.63 : 2,518.21 = 1,079.22 : x
  2. Step 2: Convert to fraction form
    1,824.63/2,518.21 = 1,079.22/x
  3. Step 3: Cross multiply
    1,824.63x = 2,518.21 × 1,079.22
  4. Step 4: Simplify right side
    1,824.63x = 2,717,707.32
  5. Step 5: Solve for x
    x = 2,717,707.32/1,824.63
  6. Step 6: Final answer
    x = 1,489.46

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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.