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Finding the Fourth Proportional to 2,018.04, 3,026.82 and 862.92

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Solution

The fourth proportional to 2,018.04, 3,026.82 and 862.92 is: 1,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.04 : 3,026.82 = 862.92 : x
  2. Step 2: Convert to fraction form
    2,018.04/3,026.82 = 862.92/x
  3. Step 3: Cross multiply
    2,018.04x = 3,026.82 × 862.92
  4. Step 4: Simplify right side
    2,018.04x = 2,611,903.51
  5. Step 5: Solve for x
    x = 2,611,903.51/2,018.04
  6. Step 6: Final answer
    x = 1,294.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.