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Finding the Fourth Proportional to 2,045.54, 3,066.54 and 949.34

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Solution

The fourth proportional to 2,045.54, 3,066.54 and 949.34 is: 1,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.54 : 3,066.54 = 949.34 : x
  2. Step 2: Convert to fraction form
    2,045.54/3,066.54 = 949.34/x
  3. Step 3: Cross multiply
    2,045.54x = 3,066.54 × 949.34
  4. Step 4: Simplify right side
    2,045.54x = 2,911,189.08
  5. Step 5: Solve for x
    x = 2,911,189.08/2,045.54
  6. Step 6: Final answer
    x = 1,423.19

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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.