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Finding the Fourth Proportional to 4,197.69, 6,292.89 and 1,602.45

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Solution

The fourth proportional to 4,197.69, 6,292.89 and 1,602.45 is: 2,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.69 : 6,292.89 = 1,602.45 : x
  2. Step 2: Convert to fraction form
    4,197.69/6,292.89 = 1,602.45/x
  3. Step 3: Cross multiply
    4,197.69x = 6,292.89 × 1,602.45
  4. Step 4: Simplify right side
    4,197.69x = 10,084,041.58
  5. Step 5: Solve for x
    x = 10,084,041.58/4,197.69
  6. Step 6: Final answer
    x = 2,402.28

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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.