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Finding the Fourth Proportional to 1,820.81, 2,512.72 and 1,034.91

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Solution

The fourth proportional to 1,820.81, 2,512.72 and 1,034.91 is: 1,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.81 : 2,512.72 = 1,034.91 : x
  2. Step 2: Convert to fraction form
    1,820.81/2,512.72 = 1,034.91/x
  3. Step 3: Cross multiply
    1,820.81x = 2,512.72 × 1,034.91
  4. Step 4: Simplify right side
    1,820.81x = 2,600,440.35
  5. Step 5: Solve for x
    x = 2,600,440.35/1,820.81
  6. Step 6: Final answer
    x = 1,428.18

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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.