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Finding the Fourth Proportional to 3,088.44, 4,630.10 and 1,444.14

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Solution

The fourth proportional to 3,088.44, 4,630.10 and 1,444.14 is: 2,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.44 : 4,630.10 = 1,444.14 : x
  2. Step 2: Convert to fraction form
    3,088.44/4,630.10 = 1,444.14/x
  3. Step 3: Cross multiply
    3,088.44x = 4,630.10 × 1,444.14
  4. Step 4: Simplify right side
    3,088.44x = 6,686,505.39
  5. Step 5: Solve for x
    x = 6,686,505.39/3,088.44
  6. Step 6: Final answer
    x = 2,165.01

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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.