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Finding the Fourth Proportional to 3,443.04, 4,752 and 2,046.60

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Solution

The fourth proportional to 3,443.04, 4,752 and 2,046.60 is: 2,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.04 : 4,752 = 2,046.60 : x
  2. Step 2: Convert to fraction form
    3,443.04/4,752 = 2,046.60/x
  3. Step 3: Cross multiply
    3,443.04x = 4,752 × 2,046.60
  4. Step 4: Simplify right side
    3,443.04x = 9,725,443.20
  5. Step 5: Solve for x
    x = 9,725,443.20/3,443.04
  6. Step 6: Final answer
    x = 2,824.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.