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Finding the Fourth Proportional to 4,602.57, 6,900.62 and 1,828.05

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Solution

The fourth proportional to 4,602.57, 6,900.62 and 1,828.05 is: 2,740.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.57 : 6,900.62 = 1,828.05 : x
  2. Step 2: Convert to fraction form
    4,602.57/6,900.62 = 1,828.05/x
  3. Step 3: Cross multiply
    4,602.57x = 6,900.62 × 1,828.05
  4. Step 4: Simplify right side
    4,602.57x = 12,614,669.25
  5. Step 5: Solve for x
    x = 12,614,669.25/4,602.57
  6. Step 6: Final answer
    x = 2,740.79

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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.