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Finding the Fourth Proportional to 3,302.84, 4,953.88 and 837.66

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Solution

The fourth proportional to 3,302.84, 4,953.88 and 837.66 is: 1,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.84 : 4,953.88 = 837.66 : x
  2. Step 2: Convert to fraction form
    3,302.84/4,953.88 = 837.66/x
  3. Step 3: Cross multiply
    3,302.84x = 4,953.88 × 837.66
  4. Step 4: Simplify right side
    3,302.84x = 4,149,667.12
  5. Step 5: Solve for x
    x = 4,149,667.12/3,302.84
  6. Step 6: Final answer
    x = 1,256.39

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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.