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Finding the Fourth Proportional to 4,604.63, 6,909.80 and 1,683.18

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Solution

The fourth proportional to 4,604.63, 6,909.80 and 1,683.18 is: 2,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.63 : 6,909.80 = 1,683.18 : x
  2. Step 2: Convert to fraction form
    4,604.63/6,909.80 = 1,683.18/x
  3. Step 3: Cross multiply
    4,604.63x = 6,909.80 × 1,683.18
  4. Step 4: Simplify right side
    4,604.63x = 11,630,428.75
  5. Step 5: Solve for x
    x = 11,630,428.75/4,604.63
  6. Step 6: Final answer
    x = 2,525.81

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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.