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Finding the Fourth Proportional to 2,962.68, 4,444.09 and 1,403.41

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Solution

The fourth proportional to 2,962.68, 4,444.09 and 1,403.41 is: 2,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.68 : 4,444.09 = 1,403.41 : x
  2. Step 2: Convert to fraction form
    2,962.68/4,444.09 = 1,403.41/x
  3. Step 3: Cross multiply
    2,962.68x = 4,444.09 × 1,403.41
  4. Step 4: Simplify right side
    2,962.68x = 6,236,880.35
  5. Step 5: Solve for x
    x = 6,236,880.35/2,962.68
  6. Step 6: Final answer
    x = 2,105.15

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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.