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Finding the Fourth Proportional to 4,340.76, 6,509.89 and 1,220.55

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Solution

The fourth proportional to 4,340.76, 6,509.89 and 1,220.55 is: 1,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.76 : 6,509.89 = 1,220.55 : x
  2. Step 2: Convert to fraction form
    4,340.76/6,509.89 = 1,220.55/x
  3. Step 3: Cross multiply
    4,340.76x = 6,509.89 × 1,220.55
  4. Step 4: Simplify right side
    4,340.76x = 7,945,646.24
  5. Step 5: Solve for x
    x = 7,945,646.24/4,340.76
  6. Step 6: Final answer
    x = 1,830.47

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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.