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Finding the Fourth Proportional to 1,683.87, 2,528.14 and 862.71

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Solution

The fourth proportional to 1,683.87, 2,528.14 and 862.71 is: 1,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.87 : 2,528.14 = 862.71 : x
  2. Step 2: Convert to fraction form
    1,683.87/2,528.14 = 862.71/x
  3. Step 3: Cross multiply
    1,683.87x = 2,528.14 × 862.71
  4. Step 4: Simplify right side
    1,683.87x = 2,181,051.66
  5. Step 5: Solve for x
    x = 2,181,051.66/1,683.87
  6. Step 6: Final answer
    x = 1,295.26

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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.