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Finding the Fourth Proportional to 3,045.17, 4,568.40 and 964.90

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Solution

The fourth proportional to 3,045.17, 4,568.40 and 964.90 is: 1,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.17 : 4,568.40 = 964.90 : x
  2. Step 2: Convert to fraction form
    3,045.17/4,568.40 = 964.90/x
  3. Step 3: Cross multiply
    3,045.17x = 4,568.40 × 964.90
  4. Step 4: Simplify right side
    3,045.17x = 4,408,048.45
  5. Step 5: Solve for x
    x = 4,408,048.45/3,045.17
  6. Step 6: Final answer
    x = 1,447.55

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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.