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Finding the Fourth Proportional to 2,034.02, 3,051.21 and 573.17

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Solution

The fourth proportional to 2,034.02, 3,051.21 and 573.17 is: 859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.02 : 3,051.21 = 573.17 : x
  2. Step 2: Convert to fraction form
    2,034.02/3,051.21 = 573.17/x
  3. Step 3: Cross multiply
    2,034.02x = 3,051.21 × 573.17
  4. Step 4: Simplify right side
    2,034.02x = 1,748,862.04
  5. Step 5: Solve for x
    x = 1,748,862.04/2,034.02
  6. Step 6: Final answer
    x = 859.81

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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.