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Finding the Fourth Proportional to 4,602.29, 6,903.72 and 1,680.21

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Solution

The fourth proportional to 4,602.29, 6,903.72 and 1,680.21 is: 2,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.29 : 6,903.72 = 1,680.21 : x
  2. Step 2: Convert to fraction form
    4,602.29/6,903.72 = 1,680.21/x
  3. Step 3: Cross multiply
    4,602.29x = 6,903.72 × 1,680.21
  4. Step 4: Simplify right side
    4,602.29x = 11,599,699.38
  5. Step 5: Solve for x
    x = 11,599,699.38/4,602.29
  6. Step 6: Final answer
    x = 2,520.42

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1.5x scale

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.