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Finding the Fourth Proportional to 3,059.60, 4,223.25 and 1,800.59

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Solution

The fourth proportional to 3,059.60, 4,223.25 and 1,800.59 is: 2,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.60 : 4,223.25 = 1,800.59 : x
  2. Step 2: Convert to fraction form
    3,059.60/4,223.25 = 1,800.59/x
  3. Step 3: Cross multiply
    3,059.60x = 4,223.25 × 1,800.59
  4. Step 4: Simplify right side
    3,059.60x = 7,604,341.72
  5. Step 5: Solve for x
    x = 7,604,341.72/3,059.60
  6. Step 6: Final answer
    x = 2,485.40

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Why These Related Problems?

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