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Finding the Fourth Proportional to 2,103.41, 3,154.88 and 1,063.01

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Solution

The fourth proportional to 2,103.41, 3,154.88 and 1,063.01 is: 1,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.41 : 3,154.88 = 1,063.01 : x
  2. Step 2: Convert to fraction form
    2,103.41/3,154.88 = 1,063.01/x
  3. Step 3: Cross multiply
    2,103.41x = 3,154.88 × 1,063.01
  4. Step 4: Simplify right side
    2,103.41x = 3,353,647.90
  5. Step 5: Solve for x
    x = 3,353,647.90/2,103.41
  6. Step 6: Final answer
    x = 1,594.39

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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.