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Finding the Fourth Proportional to 1,829.64, 2,524.72 and 1,240.40

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Solution

The fourth proportional to 1,829.64, 2,524.72 and 1,240.40 is: 1,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.64 : 2,524.72 = 1,240.40 : x
  2. Step 2: Convert to fraction form
    1,829.64/2,524.72 = 1,240.40/x
  3. Step 3: Cross multiply
    1,829.64x = 2,524.72 × 1,240.40
  4. Step 4: Simplify right side
    1,829.64x = 3,131,662.69
  5. Step 5: Solve for x
    x = 3,131,662.69/1,829.64
  6. Step 6: Final answer
    x = 1,711.63

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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.