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Finding the Fourth Proportional to 1,623.77, 2,240.21 and 1,026.30

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Solution

The fourth proportional to 1,623.77, 2,240.21 and 1,026.30 is: 1,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.77 : 2,240.21 = 1,026.30 : x
  2. Step 2: Convert to fraction form
    1,623.77/2,240.21 = 1,026.30/x
  3. Step 3: Cross multiply
    1,623.77x = 2,240.21 × 1,026.30
  4. Step 4: Simplify right side
    1,623.77x = 2,299,122.39
  5. Step 5: Solve for x
    x = 2,299,122.39/1,623.77
  6. Step 6: Final answer
    x = 1,415.92

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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.