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Finding the Fourth Proportional to 2,490.30, 3,734.60 and 1,009.13

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Solution

The fourth proportional to 2,490.30, 3,734.60 and 1,009.13 is: 1,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.30 : 3,734.60 = 1,009.13 : x
  2. Step 2: Convert to fraction form
    2,490.30/3,734.60 = 1,009.13/x
  3. Step 3: Cross multiply
    2,490.30x = 3,734.60 × 1,009.13
  4. Step 4: Simplify right side
    2,490.30x = 3,768,673.18
  5. Step 5: Solve for x
    x = 3,768,673.18/2,490.30
  6. Step 6: Final answer
    x = 1,513.34

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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.