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Finding the Fourth Proportional to 4,770.16, 7,155.72 and 1,649.76

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Solution

The fourth proportional to 4,770.16, 7,155.72 and 1,649.76 is: 2,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.16 : 7,155.72 = 1,649.76 : x
  2. Step 2: Convert to fraction form
    4,770.16/7,155.72 = 1,649.76/x
  3. Step 3: Cross multiply
    4,770.16x = 7,155.72 × 1,649.76
  4. Step 4: Simplify right side
    4,770.16x = 11,805,220.63
  5. Step 5: Solve for x
    x = 11,805,220.63/4,770.16
  6. Step 6: Final answer
    x = 2,474.81

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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.