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Finding the Fourth Proportional to 2,490.40, 3,730.20 and 2,004.40

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Solution

The fourth proportional to 2,490.40, 3,730.20 and 2,004.40 is: 3,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.40 : 3,730.20 = 2,004.40 : x
  2. Step 2: Convert to fraction form
    2,490.40/3,730.20 = 2,004.40/x
  3. Step 3: Cross multiply
    2,490.40x = 3,730.20 × 2,004.40
  4. Step 4: Simplify right side
    2,490.40x = 7,476,812.88
  5. Step 5: Solve for x
    x = 7,476,812.88/2,490.40
  6. Step 6: Final answer
    x = 3,002.25

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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.