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Finding the Fourth Proportional to 4,690.54, 7,035.84 and 1,180.54

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Solution

The fourth proportional to 4,690.54, 7,035.84 and 1,180.54 is: 1,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.54 : 7,035.84 = 1,180.54 : x
  2. Step 2: Convert to fraction form
    4,690.54/7,035.84 = 1,180.54/x
  3. Step 3: Cross multiply
    4,690.54x = 7,035.84 × 1,180.54
  4. Step 4: Simplify right side
    4,690.54x = 8,306,090.55
  5. Step 5: Solve for x
    x = 8,306,090.55/4,690.54
  6. Step 6: Final answer
    x = 1,770.82

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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.