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Finding the Fourth Proportional to 3,302.26, 4,953.56 and 837.10

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Solution

The fourth proportional to 3,302.26, 4,953.56 and 837.10 is: 1,255.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.26 : 4,953.56 = 837.10 : x
  2. Step 2: Convert to fraction form
    3,302.26/4,953.56 = 837.10/x
  3. Step 3: Cross multiply
    3,302.26x = 4,953.56 × 837.10
  4. Step 4: Simplify right side
    3,302.26x = 4,146,625.08
  5. Step 5: Solve for x
    x = 4,146,625.08/3,302.26
  6. Step 6: Final answer
    x = 1,255.69

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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.