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Finding the Fourth Proportional to 2,045.46, 3,066.48 and 949.26

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Solution

The fourth proportional to 2,045.46, 3,066.48 and 949.26 is: 1,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.46 : 3,066.48 = 949.26 : x
  2. Step 2: Convert to fraction form
    2,045.46/3,066.48 = 949.26/x
  3. Step 3: Cross multiply
    2,045.46x = 3,066.48 × 949.26
  4. Step 4: Simplify right side
    2,045.46x = 2,910,886.80
  5. Step 5: Solve for x
    x = 2,910,886.80/2,045.46
  6. Step 6: Final answer
    x = 1,423.10

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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.