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Finding the Fourth Proportional to 3,033.29, 4,549.50 and 841.88

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Solution

The fourth proportional to 3,033.29, 4,549.50 and 841.88 is: 1,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.29 : 4,549.50 = 841.88 : x
  2. Step 2: Convert to fraction form
    3,033.29/4,549.50 = 841.88/x
  3. Step 3: Cross multiply
    3,033.29x = 4,549.50 × 841.88
  4. Step 4: Simplify right side
    3,033.29x = 3,830,110.31
  5. Step 5: Solve for x
    x = 3,830,110.31/3,033.29
  6. Step 6: Final answer
    x = 1,262.69

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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.