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Finding the Fourth Proportional to 2,056.65, 3,084.99 and 517.65

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Solution

The fourth proportional to 2,056.65, 3,084.99 and 517.65 is: 776.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.65 : 3,084.99 = 517.65 : x
  2. Step 2: Convert to fraction form
    2,056.65/3,084.99 = 517.65/x
  3. Step 3: Cross multiply
    2,056.65x = 3,084.99 × 517.65
  4. Step 4: Simplify right side
    2,056.65x = 1,596,945.07
  5. Step 5: Solve for x
    x = 1,596,945.07/2,056.65
  6. Step 6: Final answer
    x = 776.48

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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.