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Finding the Fourth Proportional to 2,034.59, 3,051.28 and 864.58

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Solution

The fourth proportional to 2,034.59, 3,051.28 and 864.58 is: 1,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.59 : 3,051.28 = 864.58 : x
  2. Step 2: Convert to fraction form
    2,034.59/3,051.28 = 864.58/x
  3. Step 3: Cross multiply
    2,034.59x = 3,051.28 × 864.58
  4. Step 4: Simplify right side
    2,034.59x = 2,638,080.99
  5. Step 5: Solve for x
    x = 2,638,080.99/2,034.59
  6. Step 6: Final answer
    x = 1,296.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.