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Finding the Fourth Proportional to 4,200.94, 6,300.33 and 1,602.46

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Solution

The fourth proportional to 4,200.94, 6,300.33 and 1,602.46 is: 2,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.94 : 6,300.33 = 1,602.46 : x
  2. Step 2: Convert to fraction form
    4,200.94/6,300.33 = 1,602.46/x
  3. Step 3: Cross multiply
    4,200.94x = 6,300.33 × 1,602.46
  4. Step 4: Simplify right side
    4,200.94x = 10,096,026.81
  5. Step 5: Solve for x
    x = 10,096,026.81/4,200.94
  6. Step 6: Final answer
    x = 2,403.28

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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.