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Finding the Fourth Proportional to 4,588, 6,880.92 and 1,467.16

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Solution

The fourth proportional to 4,588, 6,880.92 and 1,467.16 is: 2,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588 : 6,880.92 = 1,467.16 : x
  2. Step 2: Convert to fraction form
    4,588/6,880.92 = 1,467.16/x
  3. Step 3: Cross multiply
    4,588x = 6,880.92 × 1,467.16
  4. Step 4: Simplify right side
    4,588x = 10,095,410.59
  5. Step 5: Solve for x
    x = 10,095,410.59/4,588
  6. Step 6: Final answer
    x = 2,200.39

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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.