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Finding the Fourth Proportional to 3,034.91, 4,552.35 and 1,735.46

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Solution

The fourth proportional to 3,034.91, 4,552.35 and 1,735.46 is: 2,603.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.91 : 4,552.35 = 1,735.46 : x
  2. Step 2: Convert to fraction form
    3,034.91/4,552.35 = 1,735.46/x
  3. Step 3: Cross multiply
    3,034.91x = 4,552.35 × 1,735.46
  4. Step 4: Simplify right side
    3,034.91x = 7,900,421.33
  5. Step 5: Solve for x
    x = 7,900,421.33/3,034.91
  6. Step 6: Final answer
    x = 2,603.18

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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.