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Finding the Fourth Proportional to 4,200.02, 6,300.23 and 1,602.75

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Solution

The fourth proportional to 4,200.02, 6,300.23 and 1,602.75 is: 2,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.02 : 6,300.23 = 1,602.75 : x
  2. Step 2: Convert to fraction form
    4,200.02/6,300.23 = 1,602.75/x
  3. Step 3: Cross multiply
    4,200.02x = 6,300.23 × 1,602.75
  4. Step 4: Simplify right side
    4,200.02x = 10,097,693.63
  5. Step 5: Solve for x
    x = 10,097,693.63/4,200.02
  6. Step 6: Final answer
    x = 2,404.20

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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.