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Finding the Fourth Proportional to 3,470.69, 5,206.24 and 1,280.94

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Solution

The fourth proportional to 3,470.69, 5,206.24 and 1,280.94 is: 1,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.69 : 5,206.24 = 1,280.94 : x
  2. Step 2: Convert to fraction form
    3,470.69/5,206.24 = 1,280.94/x
  3. Step 3: Cross multiply
    3,470.69x = 5,206.24 × 1,280.94
  4. Step 4: Simplify right side
    3,470.69x = 6,668,881.07
  5. Step 5: Solve for x
    x = 6,668,881.07/3,470.69
  6. Step 6: Final answer
    x = 1,921.49

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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.