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Finding the Fourth Proportional to 1,830.10, 2,524.62 and 1,409.62

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Solution

The fourth proportional to 1,830.10, 2,524.62 and 1,409.62 is: 1,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.10 : 2,524.62 = 1,409.62 : x
  2. Step 2: Convert to fraction form
    1,830.10/2,524.62 = 1,409.62/x
  3. Step 3: Cross multiply
    1,830.10x = 2,524.62 × 1,409.62
  4. Step 4: Simplify right side
    1,830.10x = 3,558,754.84
  5. Step 5: Solve for x
    x = 3,558,754.84/1,830.10
  6. Step 6: Final answer
    x = 1,944.57

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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.