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Finding the Fourth Proportional to 1,439.34, 2,157.72 and 561.25

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Solution

The fourth proportional to 1,439.34, 2,157.72 and 561.25 is: 841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.34 : 2,157.72 = 561.25 : x
  2. Step 2: Convert to fraction form
    1,439.34/2,157.72 = 561.25/x
  3. Step 3: Cross multiply
    1,439.34x = 2,157.72 × 561.25
  4. Step 4: Simplify right side
    1,439.34x = 1,211,023.05
  5. Step 5: Solve for x
    x = 1,211,023.05/1,439.34
  6. Step 6: Final answer
    x = 841.37

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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.