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Finding the Fourth Proportional to 4,197.63, 6,290.93 and 1,731.08

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Solution

The fourth proportional to 4,197.63, 6,290.93 and 1,731.08 is: 2,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.63 : 6,290.93 = 1,731.08 : x
  2. Step 2: Convert to fraction form
    4,197.63/6,290.93 = 1,731.08/x
  3. Step 3: Cross multiply
    4,197.63x = 6,290.93 × 1,731.08
  4. Step 4: Simplify right side
    4,197.63x = 10,890,123.16
  5. Step 5: Solve for x
    x = 10,890,123.16/4,197.63
  6. Step 6: Final answer
    x = 2,594.35

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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.