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Finding the Fourth Proportional to 2,350.42, 3,239.14 and 2,034.70

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Solution

The fourth proportional to 2,350.42, 3,239.14 and 2,034.70 is: 2,804.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.42 : 3,239.14 = 2,034.70 : x
  2. Step 2: Convert to fraction form
    2,350.42/3,239.14 = 2,034.70/x
  3. Step 3: Cross multiply
    2,350.42x = 3,239.14 × 2,034.70
  4. Step 4: Simplify right side
    2,350.42x = 6,590,678.16
  5. Step 5: Solve for x
    x = 6,590,678.16/2,350.42
  6. Step 6: Final answer
    x = 2,804.04

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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.