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Finding the Fourth Proportional to 3,045.16, 4,568.46 and 965.26

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Solution

The fourth proportional to 3,045.16, 4,568.46 and 965.26 is: 1,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.16 : 4,568.46 = 965.26 : x
  2. Step 2: Convert to fraction form
    3,045.16/4,568.46 = 965.26/x
  3. Step 3: Cross multiply
    3,045.16x = 4,568.46 × 965.26
  4. Step 4: Simplify right side
    3,045.16x = 4,409,751.70
  5. Step 5: Solve for x
    x = 4,409,751.70/3,045.16
  6. Step 6: Final answer
    x = 1,448.12

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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.