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Finding the Fourth Proportional to 3,000.23, 4,140.50 and 1,655.90

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Solution

The fourth proportional to 3,000.23, 4,140.50 and 1,655.90 is: 2,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.23 : 4,140.50 = 1,655.90 : x
  2. Step 2: Convert to fraction form
    3,000.23/4,140.50 = 1,655.90/x
  3. Step 3: Cross multiply
    3,000.23x = 4,140.50 × 1,655.90
  4. Step 4: Simplify right side
    3,000.23x = 6,856,253.95
  5. Step 5: Solve for x
    x = 6,856,253.95/3,000.23
  6. Step 6: Final answer
    x = 2,285.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.