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Finding the Fourth Proportional to 3,030, 4,543.14 and 1,178.96

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Solution

The fourth proportional to 3,030, 4,543.14 and 1,178.96 is: 1,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030 : 4,543.14 = 1,178.96 : x
  2. Step 2: Convert to fraction form
    3,030/4,543.14 = 1,178.96/x
  3. Step 3: Cross multiply
    3,030x = 4,543.14 × 1,178.96
  4. Step 4: Simplify right side
    3,030x = 5,356,151.72
  5. Step 5: Solve for x
    x = 5,356,151.72/3,030
  6. Step 6: Final answer
    x = 1,767.71

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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.