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Finding the Fourth Proportional to 3,047.69, 4,572.19 and 967.86

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Solution

The fourth proportional to 3,047.69, 4,572.19 and 967.86 is: 1,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.69 : 4,572.19 = 967.86 : x
  2. Step 2: Convert to fraction form
    3,047.69/4,572.19 = 967.86/x
  3. Step 3: Cross multiply
    3,047.69x = 4,572.19 × 967.86
  4. Step 4: Simplify right side
    3,047.69x = 4,425,242.23
  5. Step 5: Solve for x
    x = 4,425,242.23/3,047.69
  6. Step 6: Final answer
    x = 1,452.00

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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.