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Finding the Fourth Proportional to 2,026.46, 2,797.26 and 1,587.44

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Solution

The fourth proportional to 2,026.46, 2,797.26 and 1,587.44 is: 2,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.46 : 2,797.26 = 1,587.44 : x
  2. Step 2: Convert to fraction form
    2,026.46/2,797.26 = 1,587.44/x
  3. Step 3: Cross multiply
    2,026.46x = 2,797.26 × 1,587.44
  4. Step 4: Simplify right side
    2,026.46x = 4,440,482.41
  5. Step 5: Solve for x
    x = 4,440,482.41/2,026.46
  6. Step 6: Final answer
    x = 2,191.25

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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.