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Finding the Fourth Proportional to 4,602.20, 6,904.37 and 1,482.69

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Solution

The fourth proportional to 4,602.20, 6,904.37 and 1,482.69 is: 2,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.20 : 6,904.37 = 1,482.69 : x
  2. Step 2: Convert to fraction form
    4,602.20/6,904.37 = 1,482.69/x
  3. Step 3: Cross multiply
    4,602.20x = 6,904.37 × 1,482.69
  4. Step 4: Simplify right side
    4,602.20x = 10,237,040.36
  5. Step 5: Solve for x
    x = 10,237,040.36/4,602.20
  6. Step 6: Final answer
    x = 2,224.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.