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Finding the Fourth Proportional to 2,490.50, 3,436.89 and 1,496.63

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Solution

The fourth proportional to 2,490.50, 3,436.89 and 1,496.63 is: 2,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.50 : 3,436.89 = 1,496.63 : x
  2. Step 2: Convert to fraction form
    2,490.50/3,436.89 = 1,496.63/x
  3. Step 3: Cross multiply
    2,490.50x = 3,436.89 × 1,496.63
  4. Step 4: Simplify right side
    2,490.50x = 5,143,752.68
  5. Step 5: Solve for x
    x = 5,143,752.68/2,490.50
  6. Step 6: Final answer
    x = 2,065.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.