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Finding the Fourth Proportional to 1,820.64, 2,512.59 and 1,034.94

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Solution

The fourth proportional to 1,820.64, 2,512.59 and 1,034.94 is: 1,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.64 : 2,512.59 = 1,034.94 : x
  2. Step 2: Convert to fraction form
    1,820.64/2,512.59 = 1,034.94/x
  3. Step 3: Cross multiply
    1,820.64x = 2,512.59 × 1,034.94
  4. Step 4: Simplify right side
    1,820.64x = 2,600,379.89
  5. Step 5: Solve for x
    x = 2,600,379.89/1,820.64
  6. Step 6: Final answer
    x = 1,428.28

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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.