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Finding the Fourth Proportional to 1,809.18, 2,494.42 and 1,524.87

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Solution

The fourth proportional to 1,809.18, 2,494.42 and 1,524.87 is: 2,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.18 : 2,494.42 = 1,524.87 : x
  2. Step 2: Convert to fraction form
    1,809.18/2,494.42 = 1,524.87/x
  3. Step 3: Cross multiply
    1,809.18x = 2,494.42 × 1,524.87
  4. Step 4: Simplify right side
    1,809.18x = 3,803,666.23
  5. Step 5: Solve for x
    x = 3,803,666.23/1,809.18
  6. Step 6: Final answer
    x = 2,102.43

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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.