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Finding the Fourth Proportional to 3,028.59, 4,542.87 and 837.32

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Solution

The fourth proportional to 3,028.59, 4,542.87 and 837.32 is: 1,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.59 : 4,542.87 = 837.32 : x
  2. Step 2: Convert to fraction form
    3,028.59/4,542.87 = 837.32/x
  3. Step 3: Cross multiply
    3,028.59x = 4,542.87 × 837.32
  4. Step 4: Simplify right side
    3,028.59x = 3,803,837.18
  5. Step 5: Solve for x
    x = 3,803,837.18/3,028.59
  6. Step 6: Final answer
    x = 1,255.98

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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.