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Finding the Fourth Proportional to 1,809.14, 2,494.42 and 1,528.88

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Solution

The fourth proportional to 1,809.14, 2,494.42 and 1,528.88 is: 2,108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.14 : 2,494.42 = 1,528.88 : x
  2. Step 2: Convert to fraction form
    1,809.14/2,494.42 = 1,528.88/x
  3. Step 3: Cross multiply
    1,809.14x = 2,494.42 × 1,528.88
  4. Step 4: Simplify right side
    1,809.14x = 3,813,652.56
  5. Step 5: Solve for x
    x = 3,813,652.56/1,809.14
  6. Step 6: Final answer
    x = 2,108.00

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Why These Related Problems?

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