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Finding the Fourth Proportional to 2,295.55, 3,439.23 and 1,562.50

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Solution

The fourth proportional to 2,295.55, 3,439.23 and 1,562.50 is: 2,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.55 : 3,439.23 = 1,562.50 : x
  2. Step 2: Convert to fraction form
    2,295.55/3,439.23 = 1,562.50/x
  3. Step 3: Cross multiply
    2,295.55x = 3,439.23 × 1,562.50
  4. Step 4: Simplify right side
    2,295.55x = 5,373,796.88
  5. Step 5: Solve for x
    x = 5,373,796.88/2,295.55
  6. Step 6: Final answer
    x = 2,340.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.