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Finding the Fourth Proportional to 1,829.51, 2,524.78 and 1,043.51

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Solution

The fourth proportional to 1,829.51, 2,524.78 and 1,043.51 is: 1,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.51 : 2,524.78 = 1,043.51 : x
  2. Step 2: Convert to fraction form
    1,829.51/2,524.78 = 1,043.51/x
  3. Step 3: Cross multiply
    1,829.51x = 2,524.78 × 1,043.51
  4. Step 4: Simplify right side
    1,829.51x = 2,634,630.43
  5. Step 5: Solve for x
    x = 2,634,630.43/1,829.51
  6. Step 6: Final answer
    x = 1,440.07

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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.