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Finding the Fourth Proportional to 2,530.49, 3,490.61 and 1,521.49

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Solution

The fourth proportional to 2,530.49, 3,490.61 and 1,521.49 is: 2,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.49 : 3,490.61 = 1,521.49 : x
  2. Step 2: Convert to fraction form
    2,530.49/3,490.61 = 1,521.49/x
  3. Step 3: Cross multiply
    2,530.49x = 3,490.61 × 1,521.49
  4. Step 4: Simplify right side
    2,530.49x = 5,310,933.83
  5. Step 5: Solve for x
    x = 5,310,933.83/2,530.49
  6. Step 6: Final answer
    x = 2,098.78

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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.