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Finding the Fourth Proportional to 2,056.66, 3,085.01 and 517.66

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Solution

The fourth proportional to 2,056.66, 3,085.01 and 517.66 is: 776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.66 : 3,085.01 = 517.66 : x
  2. Step 2: Convert to fraction form
    2,056.66/3,085.01 = 517.66/x
  3. Step 3: Cross multiply
    2,056.66x = 3,085.01 × 517.66
  4. Step 4: Simplify right side
    2,056.66x = 1,596,986.28
  5. Step 5: Solve for x
    x = 1,596,986.28/2,056.66
  6. Step 6: Final answer
    x = 776.50

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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.