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Finding the Fourth Proportional to 3,036.97, 4,546.02 and 1,646.87

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Solution

The fourth proportional to 3,036.97, 4,546.02 and 1,646.87 is: 2,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.97 : 4,546.02 = 1,646.87 : x
  2. Step 2: Convert to fraction form
    3,036.97/4,546.02 = 1,646.87/x
  3. Step 3: Cross multiply
    3,036.97x = 4,546.02 × 1,646.87
  4. Step 4: Simplify right side
    3,036.97x = 7,486,687.40
  5. Step 5: Solve for x
    x = 7,486,687.40/3,036.97
  6. Step 6: Final answer
    x = 2,465.18

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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.