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Finding the Fourth Proportional to 3,033.63, 4,549.92 and 842.58

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Solution

The fourth proportional to 3,033.63, 4,549.92 and 842.58 is: 1,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.63 : 4,549.92 = 842.58 : x
  2. Step 2: Convert to fraction form
    3,033.63/4,549.92 = 842.58/x
  3. Step 3: Cross multiply
    3,033.63x = 4,549.92 × 842.58
  4. Step 4: Simplify right side
    3,033.63x = 3,833,671.59
  5. Step 5: Solve for x
    x = 3,833,671.59/3,033.63
  6. Step 6: Final answer
    x = 1,263.72

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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.