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Finding the Fourth Proportional to 2,292.96, 3,439.40 and 561.59

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Solution

The fourth proportional to 2,292.96, 3,439.40 and 561.59 is: 842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.96 : 3,439.40 = 561.59 : x
  2. Step 2: Convert to fraction form
    2,292.96/3,439.40 = 561.59/x
  3. Step 3: Cross multiply
    2,292.96x = 3,439.40 × 561.59
  4. Step 4: Simplify right side
    2,292.96x = 1,931,512.64
  5. Step 5: Solve for x
    x = 1,931,512.64/2,292.96
  6. Step 6: Final answer
    x = 842.37

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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.