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Finding the Fourth Proportional to 2,047.28, 3,066.84 and 950.16

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Solution

The fourth proportional to 2,047.28, 3,066.84 and 950.16 is: 1,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.28 : 3,066.84 = 950.16 : x
  2. Step 2: Convert to fraction form
    2,047.28/3,066.84 = 950.16/x
  3. Step 3: Cross multiply
    2,047.28x = 3,066.84 × 950.16
  4. Step 4: Simplify right side
    2,047.28x = 2,913,988.69
  5. Step 5: Solve for x
    x = 2,913,988.69/2,047.28
  6. Step 6: Final answer
    x = 1,423.35

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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.