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Finding the Fourth Proportional to 1,821.78, 2,513.49 and 1,076.01

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Solution

The fourth proportional to 1,821.78, 2,513.49 and 1,076.01 is: 1,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.78 : 2,513.49 = 1,076.01 : x
  2. Step 2: Convert to fraction form
    1,821.78/2,513.49 = 1,076.01/x
  3. Step 3: Cross multiply
    1,821.78x = 2,513.49 × 1,076.01
  4. Step 4: Simplify right side
    1,821.78x = 2,704,527.81
  5. Step 5: Solve for x
    x = 2,704,527.81/1,821.78
  6. Step 6: Final answer
    x = 1,484.55

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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.