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Finding the Fourth Proportional to 3,037.04, 4,554.84 and 846.08

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Solution

The fourth proportional to 3,037.04, 4,554.84 and 846.08 is: 1,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.04 : 4,554.84 = 846.08 : x
  2. Step 2: Convert to fraction form
    3,037.04/4,554.84 = 846.08/x
  3. Step 3: Cross multiply
    3,037.04x = 4,554.84 × 846.08
  4. Step 4: Simplify right side
    3,037.04x = 3,853,759.03
  5. Step 5: Solve for x
    x = 3,853,759.03/3,037.04
  6. Step 6: Final answer
    x = 1,268.92

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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.