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Finding the Fourth Proportional to 3,302.40, 4,953.78 and 837.24

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Solution

The fourth proportional to 3,302.40, 4,953.78 and 837.24 is: 1,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.40 : 4,953.78 = 837.24 : x
  2. Step 2: Convert to fraction form
    3,302.40/4,953.78 = 837.24/x
  3. Step 3: Cross multiply
    3,302.40x = 4,953.78 × 837.24
  4. Step 4: Simplify right side
    3,302.40x = 4,147,502.77
  5. Step 5: Solve for x
    x = 4,147,502.77/3,302.40
  6. Step 6: Final answer
    x = 1,255.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.