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Finding the Fourth Proportional to 4,602.02, 6,903.65 and 1,828.96

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Solution

The fourth proportional to 4,602.02, 6,903.65 and 1,828.96 is: 2,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.02 : 6,903.65 = 1,828.96 : x
  2. Step 2: Convert to fraction form
    4,602.02/6,903.65 = 1,828.96/x
  3. Step 3: Cross multiply
    4,602.02x = 6,903.65 × 1,828.96
  4. Step 4: Simplify right side
    4,602.02x = 12,626,487.02
  5. Step 5: Solve for x
    x = 12,626,487.02/4,602.02
  6. Step 6: Final answer
    x = 2,743.69

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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.