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Finding the Fourth Proportional to 3,002.84, 4,502.14 and 1,152.40

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Solution

The fourth proportional to 3,002.84, 4,502.14 and 1,152.40 is: 1,727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.84 : 4,502.14 = 1,152.40 : x
  2. Step 2: Convert to fraction form
    3,002.84/4,502.14 = 1,152.40/x
  3. Step 3: Cross multiply
    3,002.84x = 4,502.14 × 1,152.40
  4. Step 4: Simplify right side
    3,002.84x = 5,188,266.14
  5. Step 5: Solve for x
    x = 5,188,266.14/3,002.84
  6. Step 6: Final answer
    x = 1,727.79

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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.