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Finding the Fourth Proportional to 1,543.72, 2,315.58 and 389.56

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Solution

The fourth proportional to 1,543.72, 2,315.58 and 389.56 is: 584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.72 : 2,315.58 = 389.56 : x
  2. Step 2: Convert to fraction form
    1,543.72/2,315.58 = 389.56/x
  3. Step 3: Cross multiply
    1,543.72x = 2,315.58 × 389.56
  4. Step 4: Simplify right side
    1,543.72x = 902,057.34
  5. Step 5: Solve for x
    x = 902,057.34/1,543.72
  6. Step 6: Final answer
    x = 584.34

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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.