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Finding the Fourth Proportional to 3,047.18, 4,205.07 and 1,649.93

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Solution

The fourth proportional to 3,047.18, 4,205.07 and 1,649.93 is: 2,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.18 : 4,205.07 = 1,649.93 : x
  2. Step 2: Convert to fraction form
    3,047.18/4,205.07 = 1,649.93/x
  3. Step 3: Cross multiply
    3,047.18x = 4,205.07 × 1,649.93
  4. Step 4: Simplify right side
    3,047.18x = 6,938,050.12
  5. Step 5: Solve for x
    x = 6,938,050.12/3,047.18
  6. Step 6: Final answer
    x = 2,276.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.