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Finding the Fourth Proportional to 3,220.59, 4,830.99 and 1,140.31

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Solution

The fourth proportional to 3,220.59, 4,830.99 and 1,140.31 is: 1,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.59 : 4,830.99 = 1,140.31 : x
  2. Step 2: Convert to fraction form
    3,220.59/4,830.99 = 1,140.31/x
  3. Step 3: Cross multiply
    3,220.59x = 4,830.99 × 1,140.31
  4. Step 4: Simplify right side
    3,220.59x = 5,508,826.21
  5. Step 5: Solve for x
    x = 5,508,826.21/3,220.59
  6. Step 6: Final answer
    x = 1,710.50

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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.